Gap functions and error bounds for weak vector variational inequalities

被引：33

作者：

Xu, Y. D. ^{[1
]}

Li, S. J. ^{[1
,2
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[2] Chongqing Univ, Math Sci Res Inst Chongqing, Chongqing 401331, Peoples R China

来源：

OPTIMIZATION | 2014年 / 63卷 / 09期

基金：

中国国家自然科学基金;

关键词：

image space analysis; weak vector variational inequalities; gap functions; error bounds; QUASI-EQUILIBRIUM PROBLEMS; IMAGE SPACE ANALYSIS; SENSITIVITY PROPERTIES; SEPARATION APPROACH; OPTIMIZATION; EXTENSION; EXISTENCE; SETS;

D O I：

10.1080/02331934.2012.721115

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：

In this article, by using the image space analysis, a gap function for weak vector variational inequalities is obtained. Its lower semicontinuity is also discussed. Then, these results are applied to obtain the error bounds for weak vector variational inequalities. These bounds provide effective estimated distances between a feasible point and the solution set of the weak vector variational inequalities.

引用

页码：1339 / 1352

页数：14

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