Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities

被引：23
|
作者：
Nam, Nguyen Mau [1 ]
机构：
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 07期
关键词：
Variational analysis and optimization; Reflexive Banach spaces; Polyhedral sets; Parametric variational inequalities; Lipschitzian stability; Generalized differentiation; Coderivatives; METRIC REGULARITY; CONSTRAINTS; CALCULUS; SYSTEMS;
D O I：
10.1016/j.na.2010.06.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide a comprehensive study of coderivative formulas for normal cone mappings. This allows us to derive necessary and sufficient conditions for the Lipschitzian stability of parametric variational inequalities in reflexive Banach spaces. Our development not only gives an answer to the open questions raised in Yao and Yen (2009) [11], but also establishes generalizations and complements of the results given in Henrion et al. (2010) [4] and Yao and Yen (2009) [11,12]. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：2271 / 2282
页数：12
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