Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h,φ)-G-type I functions

Autor:	Tareq Saeed, Vinay Singh, Savin Treanţă, Solomon Lalmalsawma
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	(h φ)-convex function Sufficient KKT optimality conditions (h φ)-G-type I functions Weak Pareto solutions Duality Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Results in Control and Optimization, Vol 14, Iss , Pp 100395- (2024)
Druh dokumentu:	article
ISSN:	2666-7207 38334429
DOI:	10.1016/j.rico.2024.100395
Popis:	In this paper, we introduce a new class of generalized (h,φ)-G-type I vector-valued functions, by combining the notions of (h,φ)-differentiable functions, G-invex functions, and type I functions. By using these new concepts, we formulate and prove the sufficient optimality conditions for the considered problem (GMP)h,φ. In addition, we investigate a dual problem of Mond–Weir type, called (GMWD)h,φ, and establish several duality results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/00f383344297458b84bc79d58f4a31df Zobrazit plný text záznamu View record in DOAJ