Approximate Subdifferential of the Difference of Two Vector Convex Mappings

Autor:	Hanine, Abdelghali Ammar, Mohamed Laghdir, Ahmed Ed-dahdah, Mohamed
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	vector optimization optimality condition approximate subdifferential DC programming
Zdroj:	Mathematics; Volume 11; Issue 12; Pages: 2718
ISSN:	2227-7390
DOI:	10.3390/math11122718
Popis:	This paper deals with the strong approximate subdifferential formula for the difference of two vector convex mappings in terms of the star difference. This formula is obtained via a scalarization process by using the approximate subdifferential of the difference of two real convex functions established by Martinez-Legaz and Seeger, and the concept of regular subdifferentiability. This formula allows us to establish approximate optimality conditions characterizing the approximate strong efficient solution for a general DC problem and for a multiobjective fractional programming problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=multidiscipl::4c07562931de26d030aba1ce969fc9c7 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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