A New Weak Slater Constraint Qualification for Non-Smooth Multi-Objective Semi-Infinite Programming Problems
نویسندگان
1 Department of Mathematics, Payame Noor University (PNU), P.O. BOX 19395-4697, Tehran, Iran.
doi
10.30473/coam.2023.65902.1218چکیده
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.