%0 Journal Article
%T A New Weak Slater Constraint Qualification for Non-Smooth Multi-Objective Semi-Infinite Programming Problems
%J Control and Optimization in Applied Mathematics
%I Payame Noor University (PNU)
%Z 2383-3130
%A Soroush, Hamed
%D 2023
%\ 12/01/2023
%V 8
%N 2
%P 49-61
%! A New Weak Slater Constraint Qualification for Non-Smooth Multi-Objective Semi-Infinite Programming Problems
%K Semi-infinite programming
%K Multiobjective optimization
%K Constraint qualification
%K Optimality conditions
%R 10.30473/coam.2023.65902.1218
%X This paper addresses a non-smooth multi-objective semi-infinite programming problem that involves a feasible set defined by inequality constraints. Our focus is on introducing a new weak Slater constraint qualification and deriving the necessary and sufficient conditions for (weakly, properly) efficient solutions to the problem using (weak and strong) Karush-Kuhn-Tucker types. Additionally, we present two duals of the Mond-Weir type for the problem and provide (weak and strong) duality results for them. All of the results are given in terms of Clarke subdifferential.
%U https://mathco.journals.pnu.ac.ir/article_9921_0d775be83a772ef685f649fece47f732.pdf