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Optimality Conditions for Properly Efficient Solutions of Nonsmooth Multiobjective GSIP | ||
Control and Optimization in Applied Mathematics | ||
مقاله 12، دوره 9، شماره 1، مرداد 2024، صفحه 203-219 اصل مقاله (477.15 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.30473/coam.2023.67823.1234 | ||
نویسندگان | ||
Ali Asghar Hojatifard؛ Nader Kanzi* ؛ Shahriar Farahmand Rad | ||
Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran. | ||
چکیده | ||
This paper aims to establish first-order necessary optimality conditions for non-smooth multi-objective generalized semi-infinite programming problems. These problems involve inequality constraints whose index set depends on the decision vector, and all emerging functions are assumed to be locally Lipschitz. We introduce a new constraint qualification for these problems. Building upon this qualification, we derive an upper estimate for the Clarke sub-differential of the value function of the problem. Furthermore, we demonstrate the necessary optimality conditions for properly efficient solutions to the problem. | ||
کلیدواژهها | ||
Constraint qualification؛ Generalized semi-infinite optimization؛ Clarke subdifferential؛ Marginal function | ||
مراجع | ||
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