Efficiency and Henig efficiency for vector equilibrium problems

被引：141
作者：
Gong, XH [1 ]
机构：
[1] Nanching Univ, Dept Math, Nanching, Peoples R China
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2001年 / 108卷 / 01期
基金：
中国国家自然科学基金;
关键词：
vector equilibrium problems; efficiency; Henig efficiency; scalarization; existence; connectedness;
D O I：
10.1023/A:1026418122905
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We introduce the concept of Henig efficiency for vector equilibrium problems, and extend scalarization results from vector optimization problems to vector equilibrium problems. Using these scalarization results, we discuss the existence of the efficient solutions and the connectedness of the set of Henig efficient solutions to the vector-valued Hartman-Stampacchia variational inequality.
引用
收藏
页码：139 / 154
页数：16
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