An approximate fixed point property

被引：0
|
作者：
Lee, M. [1 ]
Morales, C. A. [2 ,3 ,4 ]
Park, J. [5 ]
机构：
[1] Mokwon Univ, Dept Mkt Big Data & Math, Daejeon 302729, South Korea
[2] Univ Fed Rio de Janeiro, Inst Matemat, POB 68530, BR-21945970 Rio De Janeiro, Brazil
[3] Beihang Univ, Inst Artificial Intelligence, LMIB, Beijing, Peoples R China
[4] Beihang Univ, Sch Math Sci, Beijing, Peoples R China
[5] Chungnam Natl Univ, Dept Math, Daejeon 34134, South Korea
来源：
TOPOLOGY AND ITS APPLICATIONS | 2024年 / 344卷
关键词：
Fixed point; Approximate fixed point property; Linear operator; Banach space;
D O I：
10.1016/j.topol.2024.108820
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A map of a metric space into itself has the approximate fixed point property (AFPP for short) if every nearly fixed point is close to some fixed point. It is proven that both linear operators acting on finite -dimensional Banach spaces and uniformly expansive linear homeomorphisms on Banach spaces exhibit the AFPP. Furthermore, an illustration is provided of a linear homeomorphism that does not satisfy the AFPP. (c) 2024 Elsevier B.V. All rights reserved.
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页数：9
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