Duality results for interval-valued pseudoconvex optimization problem with equilibrium constraints with applications

T Van Su, DH Dinh - Computational and Applied Mathematics, 2020 - Springer
This paper is devoted to constructing Wolfe and Mond–Weir dual models for interval-valued
pseudoconvex optimization problem with equilibrium constraints, as well as providing weak …

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

KK Lai, SK Mishra, M Hassan, J Bisht… - Journal of Inequalities and …, 2022 - Springer
This paper deals with the study of interval-valued semiinfinite optimization problems with
equilibrium constraints (ISOPEC) using convexificators. First, we formulate Wolfe-type dual …

KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization

S Dempe, AB Zemkoho - SIAM Journal on Optimization, 2014 - SIAM
For a long time, the bilevel programming problem has essentially been considered as a
special case of mathematical programs with equilibrium constraints, in particular when the …

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

Y Pandey, SK Mishra - Annals of Operations Research, 2018 - Springer
In this paper, we consider semi-infinite mathematical programming problems with
equilibrium constraints (SIMPEC). We establish necessary and sufficient optimality …

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

Y Pandey, SK Mishra - Operations Research Letters, 2016 - Elsevier
In this paper, we consider a nonsmooth multiobjective semi-infinite mathematical
programming problems with equilibrium constraints (MOSIMPECs). We introduce the …

Duality for nonsmooth optimization problems with equilibrium constraints, using convexificators

Y Pandey, SK Mishra - Journal of Optimization Theory and Applications, 2016 - Springer
In this paper, we consider optimization problems with equilibrium constraints. We study the
Wolfe-type dual problem for the optimization problems with equilibrium constraints under the …

On stationarity for nonsmooth multiobjective problems with vanishing constraints

A Sadeghieh, N Kanzi, G Caristi, D Barilla - Journal of Global Optimization, 2022 - Springer
The aim of this paper is to develop first-order necessary and sufficient optimality conditions
for nonsmooth multiobjective optimization problems with vanishing constraints. First of all …

Optimality conditions for nonsmooth mathematical programs with equilibrium constraints, using convexificators

A Ansari Ardali, N Movahedian, S Nobakhtian - Optimization, 2016 - Taylor & Francis
In this paper, we deal with constraint qualifications, stationary concepts and optimality
conditions for a nonsmooth mathematical program with equilibrium constraints (MPEC). The …

Estimating the Frechet normal cone in optimization problems with nonsmooth vanishing constraints

S Kazemi, N Kanzi, A Ebadian - Iranian Journal of Science and …, 2019 - Springer
The paper deals with the mathematical programming problems with nonsmooth vanishing
constraints. The main focus is on the estimating the Frèchet normal cone of feasible set and …

Optimality and duality for nonsmooth mathematical programming problems with equilibrium constraints

TV Su - Journal of Global Optimization, 2023 - Springer
In this paper, we construct a Wolfe and Mond-Weir types dual problem in terms of contingent
epiderivatives for nonsmooth mathematical programming problems with equilibrium …