A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces

被引：17
|
作者：
Butsan, T. [1 ]
Dhompongsa, S. [1 ]
Takahashi, W. [2 ]
机构：
[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand
[2] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 05期
关键词：
Nearly uniformly convex Banach space; Pointwise eventually nonexpansive mapping; Fixed point; Edelstein's method; CONTRACTIONS;
D O I：
10.1016/j.na.2010.10.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to prove the existence of a fixed point for a pointwise eventually nonexpansive mapping in a nearly uniformly convex Banach space. This provides an affirmative answer to a question given by Kirk and Xu [W.A. Kirk, Hong-Kun Xu, Asymptotic pointwise contraction, Nonlinear Anal. 69 (2008), 4706-4712]. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：1694 / 1701
页数：8
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