Strong vector equilibrium problems on noncompact sets
type: Item
instance of: scholarly article
title: Strong vector equilibrium problems on noncompact sets
zbMATH Open document ID: 1270.47053
author: San-Hua Wang
author: Qiuying Li
author: Junyi Fu
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2012-01-26T00:00:00Z
full work available at URL: vol35 1 11.html
review text: The present paper deals with a class of set-valued strong vector equilibrium problems. The main authors' purpose is to discuss the existence of strong efficient solutions and to study the properties of the strong efficient solution sets without assuming that the dual cone \(C^*\) of the ordering cone \(C\) has a weak\(^*\) compact base. In the case of noncompact sets of general real Hausdorff topological vector spaces, there are obtained some existence theorems by using the Brouwer fixed point theorem. Moreover, the closeness and the convexity of the strong efficient solution sets are discussed.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 6000390
zbMATH Keywords: strong vector equilibrium problem
zbMATH Keywords: strong efficient solution
zbMATH Keywords: noncompact set
zbMATH Keywords: closeness
zbMATH Keywords: convexity
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6000390