Stability and Sensitivity Analysis of Solutions to Weak Vector Variational Inequalities

被引：4

作者：

Li, Minghua ^{[1
]}

Li, Shengjie ^{[1
]}

Fang, Zhimiao ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2012年 / 20卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Robinson's metric regularity; Sensitivity analysis; Parametric weak vector variational inequality; Parametric variational inequality; METRIC REGULARITY; GAP FUNCTIONS; LIPSCHITZIAN PROPERTIES; GENERALIZED EQUATIONS; SUFFICIENT CONDITIONS; EXISTENCE; OPENNESS; MULTIFUNCTIONS; BEHAVIOR;

D O I：

10.1007/s11228-011-0183-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper mainly concerns the study of a parametric weak vector variational inequality. Robinson's metric regularity and Lipschitzian stability of the solution mapping for the parametric weak vector variational inequality are firstly established. Then sensitivity analysis of the solution mapping for the parametric weak vector variational inequality is discussed. As applications, Lipschitzian continuity and differentiability of the solution mapping are also investigated for a parametric variational inequality.

引用

页码：111 / 129

页数：19

共 62 条

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