Levitin–Polyak well-posedness for parametric quasivariational inequality problem of the Minty type

被引：0
|
作者：
C. S. Lalitha
Guneet Bhatia
机构：
[1] University of Delhi South Campus,Department of Mathematics
[2] University of Delhi,Department of Mathematics
来源：
Positivity | 2012年 / 16卷
关键词：
Quasivariational inequality; Set-valued map; Approximating sequence; Levitin–Polyak well-posedness; Gap function; 90C33; 49K40;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we introduce the notions of Levitin–Polyak (LP) well-posedness and Levitin–Polyak well-posedness in the generalized sense, for a parametric quasivariational inequality problem of the Minty type. Metric characterizations of LP well-posedness and generalized LP well-posedness, in terms of the approximate solution sets are presented. A parametric gap function for the quasivariational inequality problem is introduced and an equivalence relation between LP well-posedness of the parametric quasivariational inequality problem and that of the related optimization problem is obtained.
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页码：527 / 541
页数：14
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