Metric Subregularity of Composition Set-Valued Mappings with Applications to Fixed Point Theory

被引：7

作者：

Durea, Marius ^{[1
]}

Strugariu, Radu ^{[2
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol 1,11, Iasi 700506, Romania

[2] Gheorghe Asachi Tech Univ Iasi, Dept Math & Informat, Bd Carol 1,11, Iasi 700506, Romania

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2016年 / 24卷 / 02期

关键词：

Global regularity and subregularity; Set-valued compositions; Fixed point assertions; LYUSTERNIK-GRAVES THEOREM; OPTIMALITY CONDITIONS; LINEAR OPENNESS; CHAIN RULES; REGULARITY; STABILITY; SPACES;

D O I：

10.1007/s11228-015-0327-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we underline the importance of the parametric subregularity property of set-valued mappings, defined with respect to fixed sets. We show that this property appears naturally for some very simple mappings which play an important role in the theory of metric regularity. We prove a result concerning the preservation of metric subregularity at generalized compositions. Then we obtain, in purely metric setting, several fixed point assertions for set-valued mappings in local and global frameworks.

引用

页码：231 / 251

页数：21

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