Well-posedness for parametric quasivariational inequality problems and for optimization problems with quasivariational inequality constraints

被引：22

作者：

Lalitha, C. S. ^{[2
]}

Bhatia, Guneet ^{[1
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Univ Delhi, Dept Math, Rajdhani Coll, New Delhi 110015, India

来源：

OPTIMIZATION | 2010年 / 59卷 / 07期

关键词：

quasivariational inequality; set-valued map; approximating sequence; well-posedness; optimization problem;

D O I：

10.1080/02331930902878358

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, the concepts of well-posedness and well-posedness in the generalized sense are introduced for parametric quasivariational inequality problems with set-valued maps. Metric characterizations of well-posedness and well-posedness in the generalized sense, in terms of the approximate solutions sets, are presented. Characterization of well-posedness under certain compactness assumptions and sufficient conditions for generalized well-posedness in terms of boundedness of approximate solutions sets are derived. The study is further extended to discuss well-posedness for an optimization problem with quasivariational inequality constraints.

引用

页码：997 / 1011

页数：15

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