On the solution existence of generalized quasivariational inequalities with discontinuous multifunctions

被引：14

作者：

Kien, B. T. ^{[1
]}

Wong, N. C. ^{[1
]}

Yao, J. C. ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2007年 / 135卷 / 03期

关键词：

generalized quasivariational inequalities; lower semicontinuity; Hausdorff upper semicontinuity; Hausdorff lower semicontinuity; multifunctions; closed graphs; open graphs;

D O I：

10.1007/s10957-007-9239-4

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 study the following generalized quasivariational inequality problem: given a closed convex set X in a normed space E with the dual E*, a multifunction Phi : Chi -> 2(E*) and a multifunction Gamma : X -> 2(X), find a point (x, z) epsilon X x E* such that x epsilon Gamma (x), z epsilon Phi(x), < z, x - y > <= 0, for all gamma epsilon Gamma (x). We prove some existence theorems in which Phi may be discontinuous, X may be unbounded, and Gamma is not assumed to be Hausdorff lower semicontinuous.

引用

页码：515 / 530

页数：16

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