Existence results for nonsmooth vector quasi-variational-like inequalities
type: Item
instance of: scholarly article
title: Existence results for nonsmooth vector quasi-variational-like inequalities
zbMATH Open document ID: 1292.49007
DOI: 10.1155/2013/376829
author: Mohammed Alshahrani
author: Suliman Al-Homidan
author: Qamrul Hasan Ansari
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We introduce Nonsmooth Vector Quasi-Variational-Like Inequalities (NVQVLI) by means of a bifunction. We establish some existence results for solutions of these inequalities by using the Fan-KKM theorem and a maximal element theorem. By using the technique and methodology adopted in [\textit{S. Al-Homidan} et al., in: Q. H. Ansari (ed.) et al., Recent developments in vector optimization. Berlin: Springer. Vector Optimization, 221--274 (2012; Zbl 1274.90333)] one can easily derive the relations between these inequalities and a vector quasi-optimization problem. Hence, the existence results for a solution of a vector quasi-optimization problem can be derived by using our results. The results of this paper extend several known results in the literature.
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 6306707
zbMATH Keywords: nonsmooth vector quasi-variational-like inequalities
zbMATH Keywords: existence results
zbMATH Keywords: Fan-KKM theorem
zbMATH Keywords: maximal element theorem
zbMATH Keywords: vector quasi-optimization problem
Wikidata QID: Q58916090
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/376829
OpenAlex ID: W2030758562
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description: scientific article; zbMATH DE number 6306707