Generalized Stampacchia vector variational-like inequalities and vector optimization problems involving set-valued maps
type: Item
instance of: scholarly article
title: Generalized Stampacchia vector variational-like inequalities and vector optimization problems involving set-valued maps
zbMATH Open document ID: 1474.90471
DOI: 10.1155/2014/948270
author: Guotao Wang
author: Yanfei Chai
author: Sanyang Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We first obtain that subdifferentials of set-valued mapping from finite-dimensional spaces to finite-dimensional possess certain relaxed compactness. Then using this weak compactness, we establish gap functions for generalized Stampacchia vector variational-like inequalities which are defined by means of subdifferentials. Finally, an existence result of generalized weakly efficient solutions for vector optimization problem involving a subdifferentiable and preinvex set-valued mapping is established by exploiting the existence of a solution for the weak formulation of the generalized Stampacchia vector variational-like inequality via a Fan-KKM lemma.
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 7023374
MaRDI profile type: Publication
Wikidata QID: Q59043046
full work available at URL: https://doi.org/10.1155/2014/948270
OpenAlex ID: W2150045402
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description: scientific article; zbMATH DE number 7023374