Asymptotic pointwise contractions

被引：105

作者：

Kirk, W. A. ^{[2
]}

Xu, Hong-Kun ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

Asymptotic pointwise contraction; Asymptotic pointwise nonexpansive mapping; Fixed point; Uniformly convex Banach space;

D O I：

10.1016/j.na.2007.11.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A simple and elementary (without using the ultrapower technique) proof for the existence of a fixed point of an asymptotic pointwise contraction is provided. The existence of fixed points for asymptotic pointwise nonexpansive mappings in a uniformly convex Banach space is also investigated. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：4706 / 4712

页数：7

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