Openness properties for parametric set-valued mappings and implicit multifunctions

被引：7

作者：

Durea, M. ^{[1
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 02期

关键词：

Set-valued mappings; Normal coderivative; Openness; Implicit multifunctions; Metric regularity;

D O I：

10.1016/j.na.2009.06.105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to obtain some openness results in terms of normal coderivative for parametric set-valued mappings acting between infinite dimensional spaces. Then, implicit multifunction results are obtained by simply specializing the openness results. Moreover, we study a kind of metric regularity of the implicit multifunction. The results of the paper generalize several recent results in literature. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：571 / 579

页数：9

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