Lower semicontinuity of the solution map to a parametric vector variational inequality

被引：15
|
作者：
Wong, Mu Ming [1 ]
机构：
[1] Chung Yuan Christian Univ, Dept Appl Math, Chungli, Taiwan
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2010年 / 46卷 / 03期
关键词：
Parametric vector variational inequality; Strict monotonicity; Degree theory; Lower semicontinuity;
D O I：
10.1007/s10898-009-9447-6
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：
This paper is concerned with the study of solution stability of a parametric vector variational inequality, where mappings may not be strongly monotone. Under some requirements that the operator of a unperturbed problem is monotone or it satisfies degree conditions then we show that the solution map of a parametric vector variational inequality is lower semicontinuous.
引用
收藏
页码：435 / 446
页数：12
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