FIXED POINTS FOR NON-EXPANSIVE SET-VALUED MAPPINGS

被引：1

作者：

Saint Raymond, Jean ^{[1
]}

机构：

[1] Sorbonne Univ, Univ Paris Diderot, CNRS, Inst Math Jussieu Paris Rive Gauche, F-75005 Paris, France

来源：

MATEMATICHE | 2019年 / 74卷 / 02期

关键词：

non-expansive mappings; fixed points; set-valued mappings;

D O I：

10.4418/2019.74.2.7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be a Banach space and F: E paired right arrows E be a 1-Lipschitz set-valued mapping with closed convex non-empty values. We study the set of fixed points Fix(F) = {x is an element of E: x is an element of F(x)} and provide in any space E with dim(E) >= 2 an example of such a mapping F such that Fix(F) is not connected.

引用

页码：321 / 336

页数：16