Quasi Efficient Solutions and Duality Results in a Multiobjective Optimization Problem with Mixed Constraints via Tangential Subdifferentials

Autor:	Mohsine Jennane, El Mostafa Kalmoun, Lahoussine Lafhim, Anouar Houmia
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	nonlinear programming optimality conditions quasi efficient solutions tangential subdifferential Wolfe and Mond–Weir duality Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 22, p 4341 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10224341
Popis:	We take up a nonsmooth multiobjective optimization problem with tangentially convex objective and constraint functions. In employing a suitable constraint qualification, we formulate both necessary and sufficient optimality conditions for (local) quasi efficient solutions in terms of tangential subdifferentials. Furthermore, under generalized convexity assumptions, we state strong, weak and converse duality relations of Wolfe and Mond–Weir types. We give a number of examples to illustrate the new concepts and main results of this paper.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d063da8776aa491a827a00a7d3b2999e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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