Fixed points of uniformly lipschitzian mappings

被引：265

作者：

Dhompongsa, S.

Kirk, W. A. ^{[1
]}

Sims, Brailey

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Chiang Mai Univ, Dept Math, Chiang Mai 50000, Thailand

[3] Univ Newcastle, Sch Math & Phys Sci, Newcastle, NSW 2308, Australia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 65卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

uniformly lipschitzian mappings; fixed points; CAT(0) spaces; hyperconvex spaces;

D O I：

10.1016/j.na.2005.09.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two fixed point theorems for uniformly lipschitzian mappings in metric spaces, due respectively to E. Lifsic and to T.-C. Lim and H.-K. Xu, are compared within the framework of the so-called CAT(0) spaces. It is shown that both results apply in this setting, and that Lifsic's theorem gives a sharper result. Also, a new property is introduced that yields a fixed point theorem for uniformly lipschitzian mappings in a class of hyperconvex spaces, a class which includes those possessing property (P) of Lim and Xu. (c) 2005 Published by Elsevier Ltd.

引用

页码：762 / 772

页数：11

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