Continuity of solutions for parametric variational inequalities in Banach space

被引：26

作者：

Barbagallo, Annamaria ^{[1
]}

Cojocaru, Monica-Gabriela ^{[1
]}

机构：

[1] Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 351卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Parametric variational inequalities; Pseudo-monotonicity; Continuity of solutions; Mosco and Kuratowski convergence; VACCINATION STRATEGIES; CONVEX-SETS; REGULARITY; CONVERGENCE; DYNAMICS;

D O I：

10.1016/j.jmaa.2008.10.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider here a type of pseudo-monotone parametric variational inequalities on a class or Banach spaces and show that such problems admit continuous (with respect to the parameter) Solutions, as long as generic existence and uniqueness conditions for these solutions are satisfied. In particular, we show that such results are valid on a class of Banach spaces whenever we deal with strong pseudo-monotonicity, while others are valid in Hilbert spaces, whenever strict monotonicity is present. We also provide examples to illustrate the new results. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：707 / 720

页数：14

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