Comments on “A note on the paper “Optimality conditions for optimistic bilevel programming problem using convexifactors””

NA Gadhi - Journal of Optimization Theory and Applications, 2021 - Springer
Necessary optimality conditions for a bilevel optimization problem are given in the paper by
Kohli (J Optim Theory Appl 152: 632–651, 2012). Recently, the same author corrected his …

Constraint qualifications and stationary conditions for mathematical programming with non-differentiable vanishing constraints

S Kazemi, N Kanzi - Journal of Optimization Theory and Applications, 2018 - Springer
This paper aims at studying a broad class of mathematical programming with non-
differentiable vanishing constraints. First, we are interested in some various qualification …

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 …

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 …

[HTML][HTML] Constraint Qualifications and Optimality Conditions for Nonsmooth Semidefinite Multiobjective Programming Problems with Mixed Constraints Using …

BB Upadhyay, SK Singh, I Stancu-Minasian - Mathematics, 2024 - mdpi.com
In this article, we investigate a class of non-smooth semidefinite multiobjective programming
problems with inequality and equality constraints (in short, NSMPP). We establish 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 …

Constraint qualifications and optimality conditions for nonsmooth multiobjective mathematical programming problems with vanishing constraints on Hadamard …

BB Upadhyay, A Ghosh, N Kanzi - Journal of Mathematical Analysis and …, 2025 - Elsevier
In this paper, we introduce the notion of convexificators in the framework of Hadamard
manifolds. We derive some calculus rules for convexificators on Hadamard manifolds and …

Optimality conditions and duality for interval-valued optimization problems using convexifactors

A Jayswal, I Stancu-Minasian, J Banerjee - Rendiconti del Circolo …, 2016 - Springer
This paper is devoted to the applications of convexifactors on interval-valued programming
problem. Based on the concept of LU optimal solution, sufficient optimality conditions are …

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 …