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

页码：435 / 446

页数：12

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