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Necessary conditions for vector-valued optimization problems on Banach spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 14، دوره 16، شماره 7، مهر 2025، صفحه 173-184 اصل مقاله (412.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33443.4986 | ||
| نویسندگان | ||
| Nader Kanzi* ؛ Mahboubeh Ansari Haghighi | ||
| Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran | ||
| تاریخ دریافت: 15 اسفند 1402، تاریخ بازنگری: 20 فروردین 1403، تاریخ پذیرش: 27 فروردین 1403 | ||
| چکیده | ||
| In this paper, the class of nonconvex vector-valued optimization problems with inequality constraints is considered. We introduce two constraint qualifications and derive the weak and strong Karush-Kuhn-Tucker type of necessary conditions for a (weakly) efficient solution to the considered problem. All results are given in terms of Dini directional derivative and Clarke subdifferential. | ||
| کلیدواژه‌ها | ||
| Vector-valued function؛ Optimality conditions؛ Constraint qualification؛ Clarke subdifferential | ||
| مراجع | ||
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