FIXED POINT THEOREMS FOR MEAN NONEXPANSIVE MAPPINGS IN CAT(0) SPACES

被引：10
|
作者：
Zhou, Jing [1 ]
Cui, Yunan [2 ]
机构：
[1] Harbin Inst Technol, Dept Sci, Harbin 150080, Peoples R China
[2] Harbin Univ Sci & Technol, Dept Math, Harbin, Peoples R China
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 09期
关键词：
-convergence; CAT(0) spaces; Fixed points; Mean nonexpansive mappings; Metric spaces; 47H09; 47H10; 54E40; CONVERGENCE THEOREMS;
D O I：
10.1080/01630563.2015.1060614
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we prove the existence of fixed points and the demiclosed principle for mean nonexpansive mappings in Cartan, Alexandrov and Toponogov(0) spaces. We also obtain a -convergence theorem and a strong convergence theorem of Ishikawa iteration for mean nonexpansive mappings in Cartan, Alexandrov and Toponogov(0) spaces.
引用
收藏
页码：1224 / 1238
页数：15
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