Existence Theorems for Generalized Asymptotically Nonexpansive Mappings in Uniformly Convex Metric Spaces

被引：0

作者：

Phuengrattana, Withun ^{[1
]}

Suantai, Suthep ^{[2
]}

机构：

[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

[2] Chiang Mai Univ, Fac Sci, Mat Sci Res Ctr, Chiang Mai 50200, Thailand

来源：

JOURNAL OF CONVEX ANALYSIS | 2013年 / 20卷 / 03期

关键词：

Generalized asymptotically nonexpansive mappings; uniformly convex metric spaces; uniformly convex hyperbolic spaces; CAT(0) spaces;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the fixed point property for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces by using the concept of asymptotic center. We also discuss some fixed point theorems in uniformly convex metric spaces. Our results can be applied to obtain the existence of a fixed point of a generalized asymptotically nonexpansive mapping in both uniformly convex hyperbolic spaces and CAT(0) spaces.

引用

页码：753 / 761

页数：9

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