CONNECTEDNESS AND COMPACTNESS OF WEAK EFFICIENT SOLUTIONS FOR VECTOR EQUILIBRIUM PROBLEMS

被引：6

作者：

Long, Xian Jun ^{[1
]}

Peng, Jian Wen ^{[2
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

[2] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 48卷 / 06期

基金：

中国国家自然科学基金;

关键词：

vector equilibrium problem; weak efficient solution; scalarization; existence; connectedness; VARIATIONAL INEQUALITY; EXISTENCE; SET;

D O I：

10.4134/BKMS.2011.48.6.1225

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, without assumption of monotonicity, we study the compactness and the connectedness of the weakly efficient solutions set to vector equilibrium problems by using scalarization method in locally convex spaces. Our results improve the corresponding results in [X. H. Gong, Connectedness of the solution sets and scalarization for vector equilibrium problems, J. Optim. Theory Appl. 133 (2007), 151-161].

引用

页码：1225 / 1233

页数：9

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