Stability analysis for parametric generalized vector quasi-variational-like inequality problems

被引：10

作者：

Agarwal, Ravi P. ^{[2
]}

Chen, Jia-wei ^{[1
]}

Cho, Yeol Je ^{[3
,4
]}

Wan, Zhongping ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[2] Texas A&I Univ, Dept Math, Kingsville, TX 78363 USA

[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

基金：

新加坡国家研究基金会;

关键词：

upper semicontinuity; Hausdorff continuity; KKM mapping; gap function; parametric generalized vector quasi-variational-like inequality; LOWER SEMICONTINUITY; GAP FUNCTIONS; EXISTENCE; CONTINUITY;

D O I：

10.1186/1029-242X-2012-57

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider a class of parametric generalized vector quasi-variational-like inequality problem (for short, (PGVQVLIP)) in Hausdorff topological vector spaces, where the constraint set K and a set-valued mapping T are perturbed by different parameters, and establish the nonemptiness and upper semicontinuity of the solution mapping S for (PGVQVLIP) under some suitable conditions. By virtue of the gap function, sufficient conditions for the H-continuity and B-continuity of the solution mapping S of (PGVQVLIP) are also derived. Moreover, examples are provided for illustrating the presented results.

引用

页码：1 / 15

页数：15

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