Department of MathematicsFaculty ID 18539

Faculty Profileteachingpermanent

Shashi Mishra

Senior Professor

Department of Mathematics

Department of Mathematics, Institute of Science9935957469 shashikant.mishra@bhu.ac.in

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200

Publications

Research Projects

Ph.D. Scholars

Honours & Awards

Academic Profile

About the Faculty

A concise academic overview, expertise and current areas of scholarly interest.

Shashi Mishra serves as Senior Professor in the Department of Mathematics, contributing to teaching, research, student mentorship and academic initiatives.

Career Timeline

Work Experience

Academic appointments, research roles, and administrative responsibilities.

Academic03/1999 - 01/2003

Lecturer

Raja Balwant Singh College, Agra

Teaching

Academic01/2003 - 03/2008

Associate Professor

G. B. Pant University of Agriculture and Technology, Pantnagar

Teaching

Academic03/2008 - 03/2014

Associate Professor

Department of Mathematics, BHU, Varanasi

Teaching

Academic03/2014 - 03/2024

Professor

Department of Mathematics, BHU, Varanasi

Teaching

Academic03/2024 - Present

Senior Professor

Department of Mathematics

Teaching

Administrative2026 - Present

Admin Warden

Dr. CPR Aiyer

Student Welfare, Supervision of Wardens, Mess and Security

Administrative2018 - Present

Coordinator

Swayam

Assisting to students to take Courses available on Swayam

Administrative2017 - 2023

Time-Table In-charge

Institute of Science

Preparing Time Table for B.Sc.

Administrative2017 - 2022

Student's Advisor

Institute of Science

Student's problems

Research & Innovation

Selected Publications

Journal articles, conference papers, book chapters and other scholarly work.

2025

On multiobjective semi-infinite programs with vanishing constraints and tangential subdifferentials

S. K., Mishra & Vandana Singh

Computational and Applied Mathematics44 & 1, 91

2024

Quantum analogue of Hermite-Hadamard type inequalities for strongly convex functions

S. K. Mishra, R. Sharma, & J. Bisht

Rendiconti del Circolo Matematico di Palermo Series2, 1-17

2024

Wolfe type duality on quasidifferentiable mathematical programs with vanishing constraints

S. K. Mishra and Vandana Singh

RAIRO-Operations Research58 & 5, 3659-3673.

2024

Optimality and duality results for fractional programming problems under E-univexity

S. K. Mishra, D. Singh, & Pankaj

Numerical Algorithms1-14

2024

Hermite–Hadamard-type inequalities for strongly (a, m)-convex functions via quantum calculus

S. K. Mishra, R. Sharma, & J. Bisht

Journal of Applied Mathematics and Computing1-24

2024

On Quasiconvex Multiobjective Optimization and Variational Inequalities Using Greenberg–Pierskalla Based Generalized Subdifferentials

S. K. Mishra, V. Laha, & M. Hassan

Journal of Optimization Theory and Applications1-18

2024

Quantum analogue of Trapezoid-type inequalities for q-differentiable coordinated strongly convex functions

S. K. Mishra, R. Sharma, & J. Bisht

Journal of Applied Mathematics and Computing1-32

2024

Optimality results for nondifferentiable multiobjective fractional programming problems under E-B-invexity

S. K. Mishra, D. Singh, & Pankaj

Results in control and Optimization

2023

A Conjugate Gradient Method: Quantum Spectral Polak–Ribiére–Polyak Approach for Unconstrained Optimization Problems

K. K. Lai, S. K. Mishra, B. Ram and R. Sharma

Mathematics11 & 23, 4857

2023

A Modified q-BFGS Algorithm for Unconstrained Optimization

Kin Keung Lai, Shashi Kant Mishra, Ravina Sharma, Manjari Sharma, Bhagwat Ram

Mathematics11 & 6, 1420DOI

2023

Some new integral inequalities for higher-order strongly exponentially convex functions

Jaya Bisht, Nidhi Sharma, Shashi Kant Mishra, Abdelouahed Hamdi

Journal of Inequalities and Applications2023 & 1, 41DOI

2023

ON CHARACTERIZATIONS OF SOLUTION SETS OF INTERVAL-VALUED QUASICONVEX PROGRAMMING PROBLEMS

Shashi Kant Mishra, Sanjeev Kumar Singh, Mohd Hassan

RAIRO-Operations Research57 & 5, 2585-2600DOI

2023

Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with Applications

Kin Keung Lai, Shashi Kant Mishra, Vandana Singh

Symmetry15 & 2, 410DOI

2023

Some New Hermite-Hadamard and Ostrowski Type Inequalities for s-Preinvex Functions in (p,q)-Calculus With Applications

Shashi Kant Mishra, Vandana Singh

Bulletin of the Iranian Mathematical Society49 & 3, 33DOI

2022

Hermite-Hadamard-Type Fractional Inclusions for Interval-Valued Preinvex Functions

Kin Keung Lai, Jaya Bisht, Nidhi Sharma, Shashi Kant Mishra

Mathematics10 & 2, 264DOI

2022

On M-Stationary Conditions and Duality for Multiobjective Mathematical Programs with Vanishing Constraints

Mohd Hassan, JK Maurya, SK Mishra

Bulletin of the Malaysian Mathematical Sciences Society45 & 3, 1315-1341

2022

Duality results for interval-valued semiinfinite optimization problems with equilibrium constraints using convexificators

KK Lai, SK Mishra, Mohd Hassan, Jaya Bisht, JK Maurya

Journal of Inequalities and Applications2022 & 1, 128DOI

2022

Hermite-Hadamard type inequality for -Riemann-Liouville fractional integrals via preinvex functions

Nidhi Sharma, Shashi Kant Mishra, Abdelouahed Hamdi

International Journal of Nonlinear Analysis and Applications13 & 1, 3333-3345

2022

Nonsmooth Mathematical Programs with Vanishing Constraints in Banach Spaces

Vivek Laha, Vinay Singh, Yogendra Pandey, SK Mishra

High-Dimensional Optimization and Probability: With a View Towards Data Science385-417DOI

2022

OPTIMALITY AND DUALITY FOR SEMIDEFINITE MULTIOBJECTIVE PROGRAMMING PROBLEMS USING CONVEXIFICATORS

SHASHI KANT MISHRA, RAHUL KUMAR, VIVEK LAHA, JITENDRA KUMAR MAURYA

Journal of Applied & Numerical Optimization4 & 1DOI

2022

Hermite–Hadamard Type Inclusions for Interval-Valued Coordinated Preinvex Functions

Kin Keung Lai, Shashi Kant Mishra, Jaya Bisht, Mohd Hassan

Symmetry14 & 4, 771DOI

2022

Multiobjective approximate gradient projection method for constrained vector optimization: Sequential optimality conditions without constraint qualifications

Kin Keung Lai, Jitendra Kumar Maurya, Shashi Kant Mishra

Journal of Computational and Applied Mathematics410, 114-122DOI

2022

STRONG COMPLEMENTARY APPROXIMATE KARUSH-KUHN-TUCKER CONDITIONS FOR MULTIOBJECTIVE OPTIMIZATION PROBLEMS

Jitendra Kumar Maurya, Shashi Kant Mishra

Yugoslav Journal of Operations Research32 & 2, 219-234DOI

2022

HERMITE–HADAMARD TYPE INTEGRAL INEQUALITIES FOR THE CLASS OF STRONGLY CONVEX FUNCTIONS ON TIME SCALES

Kin Keung Lai, Jaya Bisht, Nidhi Sharma, Shashi Kant Mishra

J. Math. Inequal16 & 3, 975-991DOI

2022

Stationary Conditions and Characterizations of Solution Sets for Interval-Valued Tightened Nonlinear Problems

Kin Keung Lai, Shashi Kant Mishra, Sanjeev Kumar Singh, Mohd Hassan

Mathematics10 & 15, 2763DOI

2021

Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals

N. Sharma, S. K. Singh, S. K. Mishra and A. Hamdi

, Journal of Inequalities and Applications2021, 1-15DOI

2021

Hermite-Hadamard type inequality for ?-Riemann-Liouville fractional integrals via preinvex functions

N. Sharma, S. K. Mishra and A. Hamdi

. International Journal of Nonlinear Analysis and Applications

2021

Semidefinite Multiobjective Mathematical Programming Problems with Vanishing Constraints Using Convexificators

Kin Keung Lai, Mohd Hassan, Sanjeev Kumar Singh, Jitendra Kumar Maurya, Shashi Kant Mishra

Fractal and Fractional6 & 1, 3DOI

2021

A q-Gradient Descent Algorithm with Quasi-Fejér Convergence for Unconstrained Optimization Problems

S. K. Mishra, P. Rajkovic, M. E. Samei, S. K. Chakraborty, B. Ram, and M. K. A. Kaabar

Fractal and Fractional5 & 3, 110DOI

2021

On q-variant of Dai–Yuan conjugate gradient algorithm for unconstrained optimization problems

Shashi Kant Mishra, Mohammad Esmael Samei, Suvra Kanti Chakraborty, Bhagwat Ram

Nonlinear Dynamics104, 2471-2496DOI

2021

The existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach

M. E. Samei, A. Ahmadi, S. N. Hajiseyedazizi, S. K. Mishra and B. Ram

Journal of Inequalities and Applications2021, 1-33DOI

2021

A limited memory q-BFGS algorithm for unconstrained optimization problems

K. K. Lai, S. K. Mishra, G. Panda, S. K. Chakraborty, M. E. Samei and B. Ram

Journal of Applied Mathematics and Computing volume66, 183–202DOI

2021

On nonlinear complementarity problems with applications

B. C. Joshi, P. Kumar and S. K. Mishra

Journal of Information and Optimization Sciences42 & 1, 155-171DOI

2021

On semidifferentiable interval-valued programming problems

K. K. Lai, A. Shahi, and S. K. Mishra

Journal of Inequalities and Applications2021, 1-18DOI

2021

Multiobjective Convex Optimization in Real Banach Space

Kin Keung Lai, Mohd Hassan, Jitendra Kumar Maurya, Sanjeev Kumar Singh, Shashi Kant Mishra

Symmetry13 & 11, 2148DOI

2021

A q-Polak-Ribier-Polyak Conjugate Gradient Descent Algorithm for Unconstrained Optimization Problems

S. K. Mishra, S. K. Chakraborty, M. E. Samei and B. Ram

Journal of Inequalities and Applications2021 & 1, 1-29DOI

2021

Optimization, Variational Analysis and Applications

V. Laha, P. Marechal, S.K. Mishra

Springer Proceedings in Mathematics and Statistics355, 1-441DOI

2021

Duality in multiobjective mathematical programs with equilibrium constraints

K. V. K. Singh, J. K. Maurya and S. K. Mishra

International Journal of Applied and Computational Mathematics7 & 3, 1-15DOI

2021

A q-conjugate gradient algorithm for unconstrained optimization problems

K. K. Lai, S. K. Mishra and B. Ram

Pacific Journal of Optimization17 & 1, 57-76DOI

2020

On q-BFGS algorithm for unconstrained optimization problems

13. S. K. Mishra, G. Panda, S. K. Chakraborty, M. E. Samei and B. Ram

Advances in Difference Equations2020 & 638, 1-20DOI

2020

On approximate efficiency for nonsmooth robust vector optimization problems

T. Antczak, Yogendra Pandey, Vinay Singh, S. K. Mishra

Acta Mathematica Scientia40 B & 3, 887–902DOI

2020

On q-steepest descent method for unconstrained multiobjective optimization problems

Kin Keung Lai, Shashi Kant Mishra, Geetanjali Panda , Md Abu Talhamainuddin Ansary, Bhagwat Ram

AIMS Mathematics5 & 6: ., 5521-5540DOI

2020

On q-Newton’s method for unconstrained multiobjective optimization problems

S. K. Mishra, G. Panda, M. A. T. Ansary, B. Ram

Journal of Applied Mathematics and Computing63, 391–410DOI

2020

Extensions of different type parametrized inequalities for generalized (m, h)-preunivex mappings via k-fractional integrals

N. Sharma, S. K. Mishra and R. N. Mohapatra

Communications on Applied Nonlinear Analysis27 & 4, 65-100.

2020

On q-Quasi-Newton’s method for unconstrained multiobjective optimization

K. K. Lai, S. K. Mishra, B. Ram

Mathematics8 & 4, 616DOI

2020

Approximate-Karush-Kuhn-Tucker Conditions and Interval Valued Vector Variational Inequalities

K. K. Lai, S. K. Singh and S. K. Mishra

WSEAS Transactions on Mathematics19, 280-288.DOI

2019

On multiobjective mathematical programming problems with equilibrium constraints

Kunwar V. K. Singh, S. K. Mishra

Applied Mathematics & Information Sciences Letters7 & 1, 17-25DOI

2019

On strongly generalized convex functions of higher order

S. K. Mishra, Nidhi Sharma

Mathematical Inequalities and Applications22 & 1, 111-121DOI

2019

Introduction to Unconstrained Optimization with R

S. K. Mishra and Bhagwat Ram

Springer Nature Singapore1-304DOI

2018

On Minty variational principle for nonsmooth vector optimization problems with generalized approximate convexity

Pooja Gupta and S. K. Mishra

Optimization67 & 8, 1157-1167DOI

2018

Saddle Point Criteria in Nonsmooth SemiInfinite Minimax Fractional Programming Problems

S. K. Mishra; Y. Singh; R. U. Verma

Journal of Systems Science and Complexity31 & 2, 446–462DOI

2018

Pseudoinvex functions on riemannian manifolds and applications in fractional programming problems

Avanish Shahi, S. K. Mishra

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS80 & 3, 55-64DOI

2018

Duality models for multiobjective semiinfinite fractional programming problems involving type-I and related functions

P. Gupta, S. K. Mishra

Quaestiones Mathematicae42 & 9, 1199-1220DOI

2018

Geodesic semilocal E-convex functions on Riemannian manifolds

S. K. Porwal, S. K. Mishra

Journal of Information and Optimization Sciences39 & 8, 1717-1733DOI

2018

Optimality conditions and duality for semi-infinite mathematical programming problems with equilibrium constraints, using convexificators

Yogendra Pandey and S. K. Mishra

Annals of Operations Research269 & 1-2, 549-564DOI

2017

Duality of mathematical programming problems with equilibrium constraints

S. K. Mishra and Yogendra Pandey

Pacific Journal of Optimization13 & 1, 105-122DOI

2017

Optimality and Duality for Nonsmooth Semiinfinite Multiobjective Programming with Support functions

Y. Singh, S. K. Mishra and K. K. Lai

Yugoslav Journal of Operations Research27 & 2, 205–218DOI

2017

On Relationships between Vector Variational Inequality and Nonsmooth Vector Optimization Problems via strict minimizers

B. B. Upadhyay, R. N. Mohapatra and S. K. Mishra

Advances in Nonlinear Variational Inequalities20 & 2, 1-12DOI

2017

On Strict Vector Variational Inequalities

Vivek Laha, S. K. Mishra and R. U. Verma

Advances in Nonlinear Variational Inequalities20 & 1, 11-25DOI

2017

On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints

Sy-Ming Guu, Y. Singh and S. K. Mishra

Journal of Inequalities and Applications,282, 9DOI

2017

On vector optimization problems and vector variational inequalities using convexificators,

Vivek Laha and S. K. Mishra

Optimization66 & 11, 1837-1850DOI

2017

On Interval-valued ? - pseudolinear Optimization Problems

Vivek Laha, Amod Kumar and S. K. Mishra

On Interval-valued ? - pseudolinear Optimization Problems24 & 3, 74-89DOI

2017

Introduction to Linear Programming with MATLAB

S. K. Mishra and Bhagwat Ram

CRC, UK1-327DOI

2017

Saddle point optimality criteria for mathematical programming problems with equilibrium constraints

Y. Singh, Y. Pandey, and S. K. Mishra

Operations Research Letters45 & 3, 254-258DOI

2016

On duality for mathematical programs with vanishing constraints

S. K. Mishra, Vinay Singh and Vivek Laha

Annals of Operations Research volume243 & 6, 249–272DOI

2016

Optimality Conditions and Duality for Semi-Infinite Mathematical Programming Problem with Equilibrium Constraints

Tadeusz Antczak, S. K. Mishra and B. B. Upadhyay

Numerical Functional Analysis and Optimization36 & 4, 460-480.DOI

2016

On strong KKT type sufficient optimality conditions for nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints

Y. Pandey and S. K. Mishra

Operations Research Letters44 & 1, 148-151DOI

2016

Duality for Nonsmooth Mathematical Programming Problems with Equilibrium Constraints using Convexificators

Y. Pandey and S. K. Mishra

Journal of Optimization Theory and Applications171 & 2, 694-707DOI

2016

Duality for nonsmooth mathematical programming problems with equilibrium constraints

Sy-Ming Guu, S. K. Mishra and Y. Pandey

Journal of Inequalities and Applications28, 9DOI

2016

On approximate starshapedness in multiobjective optimization

Bader Al-Shamary; S. K. Mishra ; Vivek Laha

Optimization Methods and Software31 & 2, 290-304DOI

2016

On minty variational principle for nonsmooth vector optimization problems with approximate convexity

S. K. Mishra and Vivek Laha

Optimization Letters10 & 3, 577-589DOI

2015

Nonsmooth semi-infinite minmax programming involving generalized (F,?)-invexity

B. B. Upadhyay and S. K. Mishra

Journal of Systems Science and Complexity28 & 4, 857–875DOI

2015

On Sufficiency for Semi-infinite Multiobjective Fractional Programming Problems using generalized (a,?, ? )-V - univex functions,

S. K. Mishra and S. K. Porwal

Communications on Applied Nonlinear Analysis22 & 4, 29-48DOI

2015

Pseudolinear Functions and Optimization

S. K. Mishra and B. B. Upadhyay

CRC Press, UK1-510DOI

2015

On Constraint Qualifications for Multiobjective Optimization Problems with Vanishing Constraints

S. K. Mishra, Vinay Singh, Vivek Laha and R. N. Mohapatra

Optimization Methods, Theory and ApplicationsNA, 95-135DOI

2015

Optimality and duality for minimax fractional programming with support function under (C, a, ?, d)-convexity

5. S. K. Mishra; K. K. Lai and Vinay Singh

Journal of Computational and Applied Mathematics274, 1-10DOI

2015

Optimality Conditions and Duality for Semi-infinite Programming with generalized (C,a, ?, d )-

M. Jaiswal and S. K. Mishra

Ann. Univ. Buchar. Math. Ser.28 & 1, 83-98DOI

2015

On Characterizing the blunt Minimizers of epsilon Convex Programs

Vivek Laha, S. K. Mishra and Vinay Singh

Nonlinear Convex Analysis16 & 2, 321-329DOI

2014

Nonsmooth minimax fractional programming involving ?-pseudolinear functions

S. K. Mishra and B. B. Upadhyay

Optimization63 & 5, 775-788DOI

2014

Multiobjective Fractional Programming involving generalized Semilocally V-type I-preinvex and related functions

Hachem Slimani and S. K. Mishra

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES---, ---DOI

2014

On Nonsmooth V-invexity and Vector Variational-Like Inequalities in terms of the Michel-Penot Subdifferentials

Vivek Laha, Bader Al-Shamary and S. K. Mishra

Optimization Letters8 & 5, 1675-1690DOI

2014

Lagrange multiplier characterizations of solution sets of constrained nonsmooth pseudolinear optimization problems

. S. K. Mishra, B. B. Upadhyay and Hoai An Le Thi

Journal of Optimization Theory and Applications160 & 3, 763-777DOI

2013

A Note on the Paper “On Approximately Star-Shaped Functions and Approximate Vector Variational Inequalities”

S. K. Mishra and Vivek Laha

Journal of Optimization Theory and Applications159 & 2, 554–557DOI

2013

Optimality and Duality for Nonsmooth Multiobjective Fractional Semi-infinite Programming Problems

. S. K. Mishra, M. Jaiswal and R. U. Verma

Advances in Nonlinear Variational Inequalities13 & 1, 69-83DOI

2013

On Sufficiency for Mathematical Programming Problems with Equilibrium Constraints

S. K. Mishra and Yogendra Pandey

Yugoslv Journal of Operations Research23 & 2, 173-182DOI

2013

On generalized Minty and Stampacchia Vector Variational-Like Inequalities and V-invex Vector Optimization in Asplund spaces

. S. K. Mishra and Vivek Laha

Advances in Nonlinear Variational Inequalities16 & 2, 43-60DOI

2013

On approximately star-shaped functions and approximate vector variational inequalities

. S. K. Mishra and Vivek Laha

Journal of Optimization Theory and Applications156 & 2, 278–293DOI

2013

Some relations between Vector Variational Inequality Problems and Nonsmooth Vector Optimization Problems using quasi-efficiency

S. K. Mishra and B. B. Upadhyay

Positivity17 & 4, 1071-1083DOI

2012

Optimality conditions and duality for semi-infinite programming involving semilocally type-I preinvex and related functions

M. Jaiswal, S. K. Mishra and Bader Al Shamary

Communications of the Korean Mathematical Society27 & 2, 411-423DOI

2012

An extension of Branch-and-Bound algorithms for solving sum-of-nonlinear-ratios problem

. L. Gao, S. K. Mishra and Jianming Shi

Optimization Letters6 & 2, 221- 230DOI

2012

Vector Variational-Like Inequalities and Nonsmooth Optimization Problems with support functions

S. K. Mishra and Vinay Singh

Advances in Nonlinear Variational Inequalities15 & 2, 55-61DOI

2012

Generalized (rho, eta, theta)-Invex Functions and optimality conditions for multiple objective fractional subset programming

S. K. Mishra and Ram U. Verma

Advances in Nonlinear Variational Inequalities15 & 1, 73-87DOI

2012

Nonsmooth semi-infinite programming problem using Limiting subdifferentials

S. K. Mishra, M. Jaiswal and H. A. Le Thi

Journal of Global Optimization53 & 2, 285–296DOI

2012

Efficiency and Duality in Nonsmooth Multiobjective Fractional Programming involving ? - Pseudolinear Functions

S. K. Mishra and B. B. Upadhyay

Yugoslav Journal of Operations Research22 & 1, 3-18DOI

2012

Optimality conditions for multiple objective fractional subset programming with (?,s,?) -type-I and related non-convex functions

. S. K. Mishra, M. Jaiswal and Pankaj

Calcolo49 & 3, 177-192DOI

2012

On V-r-invexity and Vector Variational Inequalities,

. S. K. Mishra and Vivek Laha

FILOMAT26 & 5, 1065-1073DOI

2012

Optimality conditions and duality for nondifferentiable multiobjective semi-infinite programming

S. K. Mishra and Monika Jaiswal

Vietnam Journal of Mathematics40 & 2-3, 331-343DOI

2012

Duality for nonsmooth semi-infinite programming problems

. S. K. Mishra, M. Jaiswal and H. A. Le Thi

Optimization Letters6 & 2, 261–271DOI

2012

Minimax fractional integral programming problems involving univexit

S. K. Mishra, K. Shukla and Ram U. Verma

Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis19 & 3, 335-355DOI

100

2011

Optimality and duality for nondifferentiable minimax fractional optimization problems with generalized invexity

S. K. Mishra and A. K. Singh

Annals of the University of Bucharest (Mathematical Series)2(LX) & 1, 3-11DOI

101

2011

On Optimality and Duality for Nondifferentiable Minimax Fractional Optimization Problems with generalized Convexity

S. K. Mishra and A. K. Singh

Communications on Applied Nonlinear Analysis18 & 2, 99-106DOI

102

2011

Generalized Vector Variational-Like Inequalities and Nonsmooth Vector Optimization of Radially (eta, alpha)-continuous functions

S. K. Mishra, Vivek Laha and Ram U. Verma

Advances in Nonlinear Variational Inequalities14 & 2, 1-18DOI

103

2011

Topics in Nonconvex Optimization: Theory and Applications, Springer Optimization and Its Applications

S. K. Mishra

Springer, New York, USA50, 1-266DOI

104

2011

Generalized invexity-type conditions in constrained optimization

S. K. Mishra and N. G. Rueda

Journal of Systems Science and Complexity24 & 2, 394-400DOI

105

2011

Some properties of semi E -b - vex functions

. S. K. Mishra, R. N. Mohapatra and E. A. Youness

Applied Mathematics and Computation217 & 12, 5525–5530.DOI

106

2011

Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type-I and related functions

. S. K. Mishra, S. Y. Wang and K. K. Lai

Journal of Systems Science and Complexity24 & 5, 883-891DOI

107

2010

Nonsmooth minimax programming problems with V -r -invex functions

S. K. Mishra and Kalpana Shukla

Optimization59 & 1, 95–103DOI

108

2010

Optimality Conditions for multiple objective fractional subset programming with invex and related non-convex functions

S. K. Mishra, M. Jaiswal and Pankaj

Communications on Applied Nonlinear Analysis17 & 3, 89-101DOI

109

2010

Optimality and Duality in Complex Minimax Optimization under generalized alpha-invexity

. S. K. Mishra, J. S. Rautela and R. P. Pant

Journal of Nonlinear and Convex Analysis11 & 2, 357-368DOI

110

2010

Optimality and duality for nonsmooth multiobjective optimization problems with generalized V-r-invexity

. S. K. Mishra, Vinay Singh, S. Y. Wang and K. K. Lai

Journal of Applied Analysis16 & 1, 49-58DOI

111

2009

On Multiple Objective Optimization involving generalized convexity

S. K. Mishra, J. S. Rautela and R. P. Pant

International Journal of Operations Research6 & 1, 1-9DOI

112

2009

Minimax Fractional Programming involving type I and related functions

S. K. Mishra, S. Y. Wang, K. K. Lai and Kalpana Shukla

International Journal of Operations Research6 & 2, 45-54DOI

113

2009

Optimality and Duality for Nondifferentiable Multiobjective Programming under generalized a - univexity

S. K. Mishra, K. Shukla and J. S. Rautela

Annals of the University of Bucharest (mathematical series)58 & 2, 239-252DOI

114

2009

Generalized Convexity and Vector Optimization

S. K. Mishra, S. Y. Wang and K. K. Lai

Nonconvex Optimization and Its Applications90, 1-279DOI

115

2009

On Nondifferentiable Minimax Fractional Programming under generalized a - type I invexity

. S. K. Mishra and J. S. Rautela

Journal of Applied Mathematics and Computing31 & 2, 317- 334DOI

116

2009

Nonlinear multiple objective fractional programming involving semi-locally type I-alpha-preinvex and related functions

S. K. Mishra, J. S. Rautela and Kalpana Shukla

Pan American Mathematical Journal19 & 3, 51-67DOI

117

2009

Characterization of generalized univex functions

. S. K. Mishra

Analele Universitatii Bucuresti Matematica58 & 1, 87-96DOI

118

2009

Symmetric duality for minimax integer programming problems with pseudo-invexity

. S. K. Mishra, S. Y. Wang and K. K. Lai

European journal of operational research198 & 1, 37-42DOI

119

2009

Optimality conditions and efficiency in nonsmooth multiobjective programming problems involving V-pseudoinvexity

Vinay Singh, S. K. Mishra and K. K. Lai

International Journal of Optimization: Theory. Methods and Applications1 & 2, 169-181DOI

120

2009

On Nonsmooth Multiobjective Optimization involving generalized G-invexity

S. K. Mishra, J. S. Rautela and Vinay Singh

Pan American Mathematical Journal19 & 4, 37-49DOI

121

2009

Generalized a -univexity and duality for nondifferentiable minimax fractional programming

. S. K. Mishra, R. P. Pant and J. S. Rautela

Nonlinear Analysis: Theory, Methods & Applications70 & 1, 144-158DOI

122

2009

On Nonlinear multiple objective fractional programming involving semilocally type- I univex functions,

. S. K. Mishra and J. S. Rautela

Optimization Letters3 & 2, 171-185DOI

123

2008

Optimality conditions for multiple objective fractional subset programming with (-- G,?,s,?) -V-type-I and related non-convex functions

S. K. Mishra, S. Y. Wang and K. K. Lai

Mathematical and Computer Modelling48 & 7-8, 1201–1212DOI

124

2008

V-Invex Functions and Vector Optimization

S. K. Mishra, S. Y. Wang and K. K. Lai

Springer Optimization and Its Applications14, 1-146DOI

125

2008

On Nonsmooth a - invex functions and Vector Variational-Like Inequality,

S. K. Mishra, S. Y. Wang and K. K. Lai

Optimization Letters2 & 1, 91-98DOI

126

2008

Optimality and duality for V -invex non-smooth multiobjective programming problems

S. K. Mishra, S. Y. Wang and K. K. Lai

Optimization57 & 5, 635–641.DOI

127

2008

, Invexity and Optimization

S. K. Mishra and G. Giorgi, Invexity and Optimization

Nonconvex Optimization and Its Applications88DOI

128

2008

On Nondifferentiable Multiobjective Programming involving type-I a - invex functions

S. K. Mishra, J. S. Rautela and R. P. Pant

Applied Mathematics & Information Sciences2 & 3, 317-331DOI

129

2008

Duality in vector optimization under type 1 a -invexity in Banach spaces

S. K. Mishra, R. P. Pant and J. S. Rautela

Numerical Functional Analysis and Optimization29 & 9-10, 1128–1139.DOI

130

2008

Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions.

S. K. Mishra, S. Y. Wang and K. K. Lai

Mathematical Methods of Operations Research67 & 3, 493-504DOI

131

2008

Gap function for set-valued vector variational-like inequalities.

S. K. Mishra, S. Y. Wang and K. K. Lai

Journal of Optimization Theory and Applications138 & 1, 77–84DOI

132

2007

Vector Optimization involving type I and related functions on Differentiable Manifolds

S. K. Mishra and G. Giorgi

Annals of the University of Bucharest (mathematical series)56 & 1, 39-52DOI

133

2007

On Nonsmooth Multiobjective Programming with generalized univexity

S. K. Mishra, G. Giorgi and K. K. Lai

Journal of Interdisciplinary Mathematics10 & 5, 681-695DOI

134

2007

Generalized type I invexity and duality in nondifferentiable multiobjective variational problems

S. K. Mishra, S. Y. Wang and K. K. Lai

Pacific Journal of Optimization3 & 2, 309–322DOI

135

2007

Second order symmetric duality in multiobjective programming involving generalized cone-invex functions.

S. K. Mishra and K. K. Lai

European Journal of Operational Research178 & 1, 20-26DOI

136

2007

Minimax Programming Under Generalized (p, r)-Invexity

S. K. Mishra, S. Y. Wang and K. K. Lai

Journal of Systems Science and Complexity20 & 4, 501-508DOI

137

2007

Role of a - pseudo-univex functions in Vector Variational-Like Inequality Problems

S. K. Mishra, S. Y. Wang and K. K. Lai

Journal of Systems Science and Complexity20 & 3, 344-349DOI

138

2007

Second order mixed symmetric duality in nondifferentiable multiobjective mathematical programming

S. K. Mishra

Journal of Applied Analysis13 & 1, 117-132DOI

139

2007

Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems

S. K. Mishra, S. Y. Wang and K. K. Lai

Journal of Mathematical Analysis and Applications333 & 2, 1093–1110DOI

140

2007

Generalized -invexity and nondifferentiable minimax fractional programming

S. K. Mishra, R. P. Pant and J. S. Rautela

Journal of Computational and Applied Mathematics206 & 1, 122-135DOI

141

2007

Mixed symmetric duality in non-differentiable multiobjective mathematical programming

S. K. Mishra, S. Y. Wang, K. K. Lai and F. M. Yang

European Journal of Operational Research181 & 1, 1-9DOI

142

2007

Pseudolinear fuzzy mappings

S. K. Mishra, S. Y. Wang and K. K. Lai

European Journal of Operational Research182 & 2, 965-970DOI

143

2006

Mond-Weir type second order symmetric duality in non-differentiable minimax mixed integer programming problems

S. K. Mishra

European Journal of Operational Research170 & 2, 355-362DOI

144

2006

Some nondifferentiable multiobjective programming problems

S. K. Mishra and M. A. Noor

Journal of Mathematical Analysis and Applications316 & 2, 472–482DOI

145

2006

Duality for Multiple Objective Fractional Subset Programming with Generalized (, ?, s, ?)-V-Type-I Functions

S. K. Mishra

Journal of Global Optimization36 & 4, 499–516DOI

146

2006

Optimality and duality for a multi-objective programming problem involving generalized d -type-I and related n -set functions

S. K. Mishra, S. Y. Wang and K. K. Lai

European Journal of Operational Research173 & 2, 405-418DOI

147

2006

Second-order duality for nondifferentiable minimax programming involving generalized type I functions

S. K. Mishra and N. G. Rueda

Journal of Optimization Theory and Applications130 & 3, 477– 486DOI

148

2006

Wolfe-type duality involving univex functions for a minimax programming problem

S. K. Mishra and N. G. Rueda

Journal of Nonlinear and Convex Analysis7 & 2, 269-275DOI

149

2006

Mond-Weir type mixed symmetric first and second order duality in non-differentiable mathematical programming

S. K. Mishra, S. Y. Wang and K. K. Lai

Journal of Nonlinear and Convex Analysis7 & 2, 189-198DOI

150

2006

Vector variational-like inequalities and non-smooth vector optimization problems

S. K. Mishra and S. Y. Wang

Nonlinear Analysis: Theory, Methods & Applications64 & 9, 1939–1945DOI

151

2006

Explicitly B-preinvex fuzzy mappings

S. K. Mishra, S. Y. Wang and K. K. Lai

International Journal of Computer Mathematics83 & 1, 39-47DOI

152

2006

Nonsmooth Continuous-Time Multiobjective Optimization Problems with invexity

S. K. Mishra, S. Y. Wang and K. K. Lai

WSEAS Transactions on Mathematics5 & 6, 635-639DOI

153

2005

Properties of Approximate preinvex functions

M. A. Noor, S. K. Mishra and S. Momani

Nonlinear Analysis Forum10 & 2, 227-235DOI

154

2005

Complex minimax programming under generalized type-I functions

S. K. Mishra

Computers & Mathematics with Applications50 & 1-2, 1-11DOI

155

2005

On vector variational-like inequality problems

S. K. Mishra and M. A. Noor

Journal of Mathematical Analysis and Applications311 & 1, 69-75DOI

156

2005

Multiple objective fractional programming involving semilocally type I-preinvex and related functions.

S. K. Mishra, S. Y. Wang and K. K. Lai

Journal of Mathematical Analysis and Applications310 & 2, 626-640DOI

157

2005

Non-differentiable higher-order symmetric duality in mathematical programming with generalized invexity

S. K. Mishra

European Journal of Operational Research167 & 1, 28– 34DOI

158

2005

Second order symmetric duality for nonlinear multiobjective mixed integer programming

S. K. Mishra and S. Y. Wang

European Journal of Operational Research161 & 3, 673–682DOI

159

2005

Optimality and duality for multiple-objective optimization under generalized type I univexity

S. K. Mishra, S. Y. Wang and K. K. Lai

Journal of Mathematical Analysis and Applications303 & 1, 315-326DOI

160

2005

Second and Higher-order generalized invexity and Duality in Multiobjective Programming Problems

N. G. Rueda and S. K. Mishra

Analele Universitatii Bucuresti Matematica54 & 2, 257-264DOI

161

2005

Nondifferentiable multiobjective programming under generalized d -univexity

S. K. Mishra, S. Y. Wang and K. K. Lai

European Journal of Operational Research202 & 1, 32-41DOI

162

2004

Semistrictly preinvex fuzzy mappings. Int. J. Comput. Math.

S. K. Mishra, S. Y. Wang and K. K. Lai

International Journal of Computer Mathematics81 & 11, 1319–1328DOI

163

2004

Duality in vector optimization in Banach spaces with generalized convexity.

S. K. Mishra, G. Giorgi and S. Y. Wang

Journal of Global Optimization29 & 4, 415–424DOI

164

2004

Higher-order Duality for a class of Nondifferentiable Multiobjective Programming Problems

S. K. Mishra, S. Y. Wang and K. K. Lai

International Journal of Pure and Applied Mathematics11 & 2, 221-232DOI

165

2004

Optimality and duality in nondifferentiable and multiobjective programming under generalized d -invexity

S. K. Mishra, S. Y. Wang and K. K. Lai

Journal of Global Optimization29 & 4, 425–438DOI

166

2004

Complex minimax programming under generalized convexity

S. K. Mishra, S. Y. Wang and K. K. Lai

Journal of Computational and Applied Mathematics167 & 1, 59–71DOI

167

2003

Symmetric Duality in Variational Problems under Pseudo-univexity

S. K. Mishra, S. Y. Wang and K. K. Lai

International Journal of Pure and Applied Mathematics8 & 2, 171-181DOI

168

2003

Nonsmooth Minimax Problems under V-?-s-type-I Invexity

S. K. Mishra, S. Y. Wang, P. Gupta and K. K. Lai

International Journal of Pure and Applied Mathematics6 & 1, 63-75DOI

169

2003

Multiobjective Programming under Generalized type I Unvexity

S. K. Mishra, N. G. Rueda and G. Giorgi

Analele Universitatii Bucuresti Matematica52 & 2, 207-224DOI

170

2003

Symmetric duality for mathematical programming in complex spaces with F -convexity

S. K. Mishra and N. G. Rueda

Journal of Mathematical Analysis and Applications284 & 1, 250–265DOI

171

2003

Nondifferentiable minimax fractional programming under generalized univexity

S. K. Mishra, S. Y. Wang, K. K. Lai and J. M. Shi

Journal of Computational and Applied Mathematics158 & 2, 379-395DOI

172

2002

Higher-order generalized invexity and duality in nondifferentiable mathematical programming

S. K. Mishra and N. G. Rueda

Journal of Mathematical Analysis and Applications272 & 2, 496–506DOI

173

2001

Pseudoconvex Complex Minmax Programming

S. K. Mishra

Indian J. Pure and Applied Mathematics32 & 2, 205-214DOI

174

2001

On Univexity-type Nonlinear Programming Problems

S. K. Mishra and N. G. Rueda

Bulletin of The Allahabad Mathematical Society16, 105-113DOI

175

2000

Multiobjective Second Order Symmetric Duality with cone Constraints

S. K. Mishra

European Journal of Operational Re126 & 3, 675 – 682DOI

176

2000

Second Order Symmetric Duality with F-Convexity

S. K. Mishra

European Journal of Operational Re127 & 3, 507-518DOI

177

2000

Higher–Order Generalized Invexity and Duality in Mathematical Programming

S. K. Mishra and N. G. Rueda

Journal of Mathematical Analysis and Applications247 & 1, 173-182DOI

178

2000

Optimality and Duality with Generalized Semi - Univexity

S. K. Mishra and G. Giorgi

OPSEARCH37 & 4, 340–350DOI

179

1999

Multiobjective Control Problems with V-Invexity

S. K. Mishra and R. N. Mukherjee

Journal of Mathematical Analysis and Applications235 & 1, 1-12DOI

180

1998

On Multiple- objective Optimization with Generalized Univexity

S. K. Mishra

ournal of Mathematical Analysis and Applications224 & 1, 131-148DOI

181

1998

Generalized Pseudoconvex Minmax Programming

S. K. Mishra

OPSEARCH35 & 1, 32-44DOI

182

1997

On Sufficiency and Duality in Nonsmooth Multiobjective Programming

S. K. Mishra

OPSEARCH34 & 4, 221-231DOI

183

1997

Second Order Generalized Invexity and Duality in Mathematical Programming

S. K. Mishra

Optimization42 & 1, 51-69DOI

184

1997

Generalized fractional programming problems containing locally subdifferentiable and ?-Univex functions

S. K. Mishra

Optimization42 & 2, 135-158DOI

185

1997

Constrained Vector Valued Ratio Games and Generalized Subdifferentiable Multiobjective Fractional Minmax Programming

S. K. Mishra and R. N. Mukherjee

OPSEARCH34 & 1, 1-15DOI

186

1996

On generalized Convex Multiobjective Nonsmooth Programming

S. K. Mishra and R. N. Mukherjee

Journal of Australian Mathematical SocietyB-38 & 1, 140-148DOI

187

1996

Generalized Proper Efficiency and Duality for a class of Nondifferentiable Multiobjective Variational Problems with V-Invexity

S. K. Mishra

Journal of Mathematical Analysis and Applications202 & 1, 53-71DOI

188

1996

Multiobjective Programming with Semilocally Convex Functions

R. N. Mukherjee and S. K. Mishra

Journal of Mathematical Analysis and Applications199 & 2, 409 – 424DOI

189

1996

On Sufficiency and Duality for Generalized Quasiconvex Nonsmooth Programs

S. K. Mishra

Optimization38 & 3, 223-235DOI

190

1996

Lagrange Multipliers Saddle points and Scalarizations in Composite Multiobjective Nonsmooth Programming

S. K. Mishra

Optimization38 & 2, 93-105DOI

191

1995

Generalized Continuous Non-differentiable Fractional Programming Problems with Invexity

S. K. Mishra and R. N. Mukherjee

Journal of Mathematical Analysis and Applications195 & 1, 191 – 213DOI

192

1995

Generalized Invexity and Duality in Multiple Objective Variational Problems

R. N. Mukherjee and S. K. Mishra

Journal of Mathematical Analysis and Applications195 & 2, 307-322DOI

193

1995

Pseudolinear Fractional Minmax Programming

S. K. Mishra

Indian Journal of Pure and Applied Mathematics26 & 8, 763 – 772DOI

194

1995

Generalized Convex Composite Multiobjective Nonsmooth Programming and conditional proper Efficiency

S. K. Mishra and R. N. Mukherjee

Optimization34 & 1, 53-66DOI

195

1994

On efficiency and Duality for Multiobjective Variational Problems

S. K. Mishra and R. N. Mukherjee

Journal of Mathematical Analysis and Applications187 & 1, 40 – 54DOI

196

1994

Sufficient Optimality Criteria and Duality for Multiobjective Variational Problems with V – invexity

R. N. Mukherjee and S. K. Mishra

Indian Journal of Pure and Applied Mathematics25 & 8, 801 – 813DOI

197

1994

Duality for Multiobjective Fractional Variational Problems

S. K. Mishra and R. N. Mukherjee

Journal of Mathematical Analysis and Applications186 & 3, 711 – 275DOI

198

1994

Poisson Integral representations of generalized Hp – Funtions on Tubes

S. K. Mishra and R. S. Pathak

Complex Variables25 & 4, 323 – 336DOI

199

1993

Duality for Generalized Convex Multiobjective Programming without a Constraint Qualification

S. K. Mishra and R. N. Mukherjee

OPSEARCH30, 336 – 343DOI

200

1989

Asymptotic behaviours of a class of integral transforms in complex domains

R. S. Pathak, S. K. Mishra

Edinburgh Mathematical Society32 & 2, 231-247DOI

Mentorship

Research Supervision

Scholars and research students guided by the faculty member.

Ph.D.2025

Study of some Mathematical Inequalities and Numarical Optimization method using Quantum Calculus

Scholar: Dr. Ravina Sharma · BHU

Ph.D.2024

Some Contributions to Variational Inequalities and Optimization Problems

Scholar: Dr. Mohd Hassan · BHU

Ph.D.2023

Hermite-Hadamard Type Inequalities and Generalized Convexity with Applications

Scholar: Dr. Jaya Bisht · BHU

Ph.D.2022

A study of Integral Inequalities and Generalized Convexity with Applications

Scholar: Dr. Nidhi Sharma · BHU

Ph.D.2022

Some Contributions to Variational Inequalities and Interval-Valued Optimization Problems

Scholar: Dr. Sanjeev Kumar Singh · BHU

Ph.D.2021

Some Contributions to Generalized Gradient Descent Methods for Unconstrained Optimization Problems

Scholar: Dr. Bhagwat Ram · BHU

Ph.D.2021

Some Contributions to Multiobjective Mathematical Programming Problems with Equilibrium and Vanishing Constraints

Scholar: Dr. Jitendra Kumar Maurya · BHU

Ph.D.2020

Some Contributions to Optimization Problems on Manifolds

Scholar: Dr. Avanish Shahi · BHU

Ph.D.2019

Some Contributions to Mathematical Problems with Equilibrium Constraints

Scholar: Dr. Kunwar Vijay Kumar Singh · BHU

Ph.D.2019

A contribution to Semiinfinite Optimization Problems and Variational Inequalities

Scholar: Dr. Pooja Gupta · BHU

Ph.D.2018

Some Contributions to Nonlinear Optimization Problems and Variational Inequalities

Scholar: Dr. Bhuwan Chandra Joshi · BHU

Ph.D.2017

Some Contributions to Mathematical Programming Problems with Equilibrium, Vanishing and Infinitely many Constraints

Scholar: Dr. Yadvendra Singh · BHU

Ph.D.2017

Optimality and Duality for Some Recent Optimization Problems Under Generalized Convexity

Scholar: Dr. Amod Kumar · BHU

Ph.D.2016

Some contributions to Mathematical Programmes with Equilibrium Constraints and Robust Optimization Problems

Scholar: Dr. Yogendra Pandey · BHU

Ph.D.2016

A Study of Generalized Convexity in Optimization

Scholar: Dr. Sandeep Porwal · BHU

Ph.D.2015

Some Contributions to Optimization Problems and Variational Inequalities involving Approximate and Generalized Convexity

Scholar: Dr. Vivek Laha · BHU

Ph.D.2013

Optimality and Duality for Nonlinear Semi-infinite Programming Problems

Scholar: Dr. Monika Jaiswal · BHU

Ph.D.2014

A Study on Nonlinear Programming Problems and Variational Inequalities involving Generalized Convexity

Scholar: Dr. Balendu Bhooshan Upadhyay · BHU

Ph.D.2012

Optimality and Duality in N-Set Optimization Involving Generalized Convexity

Scholar: Dr. Pankaj · BHU

Ph.D.2012

Nondifferentiable Multiobjective Programming

Scholar: Dr. Kalpana Shukla · BHU

Ph.D.2010

Some Contributions to Multiobjective Optimization Problems Involving Generalized Convexity

Scholar: Dr. Vinay Singh · BHU

Teaching & Learning

Courses Taught

Courses and academic offerings associated with this faculty profile.

MTM-204

Theory of optimization

MSMC-101

Algebra

MTM-402

Partial Differential Equations

Industry & Advisory

Consultancies

Consultancy engagements, technical advisory, and industry collaboration projects.

Mathematical Research Impact Centric Support (MATRICS), Science and Engineering Research Board, Grant Number: PI/ Co PI: MTR/2018/000121 (Government of India)

2019 to 2021

Research

Recognition

Honours & Awards

Academic honours, distinctions, prizes and recognitions received by the faculty member.

Academic Recognition

Young Scientist of the Department of Science and Technology, Government of India

DST

2002

Academic Recognition

INSA Teachers Award

Indian National Science Academy

2020

Milestones

Achievements

Notable academic, professional, research and institutional achievements.

No achievements are currently listed.

Banaras Hindu University

Connect with Shashi Mishra

For academic collaboration, teaching enquiries, research discussions or professional communication.

Email Faculty

Shashi Mishra

About the Faculty

Work Experience

Lecturer

Associate Professor

Associate Professor

Professor

Senior Professor

Admin Warden

Coordinator

Time-Table In-charge

Student's Advisor

Sponsored Projects & Grants

Mathematical Research Impact Centric Support (MATRICS)

Research Grant for Faculty

Selected Publications

On multiobjective semi-infinite programs with vanishing constraints and tangential subdifferentials

Quantum analogue of Hermite-Hadamard type inequalities for strongly convex functions

Wolfe type duality on quasidifferentiable mathematical programs with vanishing constraints

Optimality and duality results for fractional programming problems under E-univexity

Hermite–Hadamard-type inequalities for strongly (a, m)-convex functions via quantum calculus

On Quasiconvex Multiobjective Optimization and Variational Inequalities Using Greenberg–Pierskalla Based Generalized Subdifferentials

Quantum analogue of Trapezoid-type inequalities for q-differentiable coordinated strongly convex functions

Optimality results for nondifferentiable multiobjective fractional programming problems under E-B-invexity

A Conjugate Gradient Method: Quantum Spectral Polak–Ribiére–Polyak Approach for Unconstrained Optimization Problems

A Modified q-BFGS Algorithm for Unconstrained Optimization

Some new integral inequalities for higher-order strongly exponentially convex functions

ON CHARACTERIZATIONS OF SOLUTION SETS OF INTERVAL-VALUED QUASICONVEX PROGRAMMING PROBLEMS

Ostrowski Type Inequalities via Some Exponentially s-Preinvex Functions on Time Scales with Applications

Some New Hermite-Hadamard and Ostrowski Type Inequalities for s-Preinvex Functions in (p,q)-Calculus With Applications

Hermite-Hadamard-Type Fractional Inclusions for Interval-Valued Preinvex Functions

On M-Stationary Conditions and Duality for Multiobjective Mathematical Programs with Vanishing Constraints

Duality results for interval-valued semiinfinite optimization problems with equilibrium constraints using convexificators

Hermite-Hadamard type inequality for -Riemann-Liouville fractional integrals via preinvex functions

Nonsmooth Mathematical Programs with Vanishing Constraints in Banach Spaces

OPTIMALITY AND DUALITY FOR SEMIDEFINITE MULTIOBJECTIVE PROGRAMMING PROBLEMS USING CONVEXIFICATORS

Hermite–Hadamard Type Inclusions for Interval-Valued Coordinated Preinvex Functions

Multiobjective approximate gradient projection method for constrained vector optimization: Sequential optimality conditions without constraint qualifications

STRONG COMPLEMENTARY APPROXIMATE KARUSH-KUHN-TUCKER CONDITIONS FOR MULTIOBJECTIVE OPTIMIZATION PROBLEMS

HERMITE–HADAMARD TYPE INTEGRAL INEQUALITIES FOR THE CLASS OF STRONGLY CONVEX FUNCTIONS ON TIME SCALES

Stationary Conditions and Characterizations of Solution Sets for Interval-Valued Tightened Nonlinear Problems

Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals

Hermite-Hadamard type inequality for ?-Riemann-Liouville fractional integrals via preinvex functions

Semidefinite Multiobjective Mathematical Programming Problems with Vanishing Constraints Using Convexificators

A q-Gradient Descent Algorithm with Quasi-Fejér Convergence for Unconstrained Optimization Problems

On q-variant of Dai–Yuan conjugate gradient algorithm for unconstrained optimization problems

The existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach

A limited memory q-BFGS algorithm for unconstrained optimization problems

On nonlinear complementarity problems with applications

On semidifferentiable interval-valued programming problems

Multiobjective Convex Optimization in Real Banach Space

A q-Polak-Ribier-Polyak Conjugate Gradient Descent Algorithm for Unconstrained Optimization Problems

Optimization, Variational Analysis and Applications

Duality in multiobjective mathematical programs with equilibrium constraints

A q-conjugate gradient algorithm for unconstrained optimization problems

On q-BFGS algorithm for unconstrained optimization problems

On approximate efficiency for nonsmooth robust vector optimization problems

On q-steepest descent method for unconstrained multiobjective optimization problems

On q-Newton’s method for unconstrained multiobjective optimization problems

Extensions of different type parametrized inequalities for generalized (m, h)-preunivex mappings via k-fractional integrals

On q-Quasi-Newton’s method for unconstrained multiobjective optimization

Approximate-Karush-Kuhn-Tucker Conditions and Interval Valued Vector Variational Inequalities

On multiobjective mathematical programming problems with equilibrium constraints

On strongly generalized convex functions of higher order

Introduction to Unconstrained Optimization with R

On Minty variational principle for nonsmooth vector optimization problems with generalized approximate convexity

Saddle Point Criteria in Nonsmooth SemiInfinite Minimax Fractional Programming Problems

Pseudoinvex functions on riemannian manifolds and applications in fractional programming problems

Duality models for multiobjective semiinfinite fractional programming problems involving type-I and related functions

Geodesic semilocal E-convex functions on Riemannian manifolds

Optimality conditions and duality for semi-infinite mathematical programming problems with equilibrium constraints, using convexificators

Duality of mathematical programming problems with equilibrium constraints

Optimality and Duality for Nonsmooth Semiinfinite Multiobjective Programming with Support functions

On Relationships between Vector Variational Inequality and Nonsmooth Vector Optimization Problems via strict minimizers

On Strict Vector Variational Inequalities

On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints

On vector optimization problems and vector variational inequalities using convexificators,

On Interval-valued ? - pseudolinear Optimization Problems

Introduction to Linear Programming with MATLAB

Saddle point optimality criteria for mathematical programming problems with equilibrium constraints