The fixed point property and unbounded sets in CAT(0) spaces

被引：15

作者：

Espinola, Rafa ^{[1
]}

Piatek, Bozena ^{[2
]}

机构：

[1] Univ Seville, IMUS Dpto Anal Matemat, Seville, Spain

[2] Silesian Tech Univ, Gliwice, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 408卷 / 02期

关键词：

Nonexpansive mappings; Fixed points; Unbounded convex sets; CAT(0) spaces; Banach-Steinhaus theorem; BANACH; MAPPINGS; CONVERGENCE; THEOREMS;

D O I：

10.1016/j.jmaa.2013.06.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we study the fixed point property for nonexpansive self-mappings defined on convex and closed subsets of a CAT(0) space. We. will show that a positive answer to this problem is very much linked with the Euclidean geometry of the space while the answer is more likely to be negative if the space is more hyperbolic. As a consequence we extend a very well known result of W.O. Ray on Hilbert spaces. (C) 2013 Elsevier Inc. All rights reserved..

引用

页码：638 / 654

页数：17

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