ADDENDUM TO THE PAPER: FIXED POINTS FOR NON-EXPANSIVE SET-VALUED MAPPINGS

被引：0
|
作者：
Saint Raymond, J. [1 ]
机构：
[1] Univ Paris Cite, Sorbonne Univ, Inst Math Jussieu Paris Rive Gauche, CNRS, F-75005 Paris, France
来源：
MATEMATICHE | 2022年 / 77卷 / 02期
关键词：
non-expansive mappings; fixed points; set-valued mappings;
D O I：
10.4418/2022.77.2.10
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to improve or simplify some theorems which have been published in the paper [3] in this journal after a stay of the author at the University of Catania. In particular in [3] the main results were that in general the known properties of the set of fixed points for contractive set-valued mappings fail as soon as one replaces "contractive" by "non-expansive". In fact, as we shall prove in this addendum, some of them hold true when the surrounding space is finite-dimensional, or the domain is compact.Some results of [3] are reproved here with a simpler proof for making this addendum more self-contained.
引用
收藏
页码：441 / 448
页数：8
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