On Semi-Infinite Optimization Problems with Vanishing Constraints Involving Interval-Valued Functions

Autor:	Bhuwan Chandra Joshi, Murari Kumar Roy, Abdelouahed Hamdi
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	vanishing constraints Mond–Weir-type duality Wolfe-type duality semi-infinite interval-valued optimization problems Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 7, p 1008 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12071008
Popis:	In this paper, we examine a semi-infinite interval-valued optimization problem with vanishing constraints (SIVOPVC) that lacks differentiability and involves constraints that tend to vanish. We give definitions of generalized convex functions along with supportive examples. We investigate duality theorems for the SIVOPVC problem. We establish these theorems by creating duality models, which establish a relationship between SIVOPVC and its corresponding dual models, assuming generalized convexity conditions. Some examples are also given to illustrate the results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0b173b72be7346a998469fa308c202ef Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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