Qualifications and stationarity for nonsmooth multiobjective problems with switching constraints

	Qualifications and stationarity for nonsmooth multiobjective problems with switching constraints
International Journal of Nonlinear Analysis and Applications
مقاله 10، دوره 16، شماره 2، اردیبهشت 2025، صفحه 115-128 اصل مقاله (437.24 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.31773.4713
نویسندگان
Sahar Niknam؛ Nader Kanzi^* ؛ Maryam Naderi Parizi؛ Zeynab Izadi
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
چکیده
This paper aims to study a broad class of multiobjective mathematical problems with switching constraints in which all emerging functions are assumed to be locally Lipschitz. First, we are interested in some Abadie, Guignard, and Cottle types qualification conditions for the problem. Then, these constraint qualifications are applied to obtain several stationarity conditions. The results are based on Clarke's subdifferential.
کلیدواژه‌ها
Multiobjective optimization؛ Stationarity conditions؛ Switching constraints؛ Constraint qualification؛ Clarke subdifferential
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