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

被引：18
|
作者：
Lalitha, C. S. [1 ]
Bhatia, Guneet [2 ]
机构：
[1] Univ Delhi S Campus, Dept Math, New Delhi 110021, India
[2] Univ Delhi, Dept Math, Delhi 110007, India
来源：
POSITIVITY | 2012年 / 16卷 / 03期
关键词：
Quasivariational inequality; Set-valued map; Approximating sequence; Levitin-Polyak well-posedness; Gap function; OPTIMIZATION PROBLEMS; CONSTRAINTS; BIFUNCTIONS; EVOLUTION; CALCULUS;
D O I：
10.1007/s11117-012-0188-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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：15
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