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A New Weak Slater Constraint Qualification for Non-Smooth Multi-Objective Semi-Infinite Programming Problems | ||
| Control and Optimization in Applied Mathematics | ||
| مقاله 4، دوره 8، شماره 2، اسفند 2023، صفحه 49-61 اصل مقاله (440.53 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2023.65902.1218 | ||
| نویسنده | ||
| Hamed Soroush* | ||
| Department of Mathematics, Payame Noor University (PNU), P.O. BOX 19395-4697, Tehran, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Semi-infinite programming؛ Multiobjective optimization؛ Constraint qualification؛ Optimality conditions | ||
| مراجع | ||
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