Convergence Theorems for G-Nonexpansive Mappings in CAT(0) Spaces Endowed with Graphs

被引：0

作者：

Anakkamatee, Watcharapong ^{[1
]}

Tongnoi, Buris ^{[2
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

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

来源：

THAI JOURNAL OF MATHEMATICS | 2019年 / 17卷 / 03期

关键词：

CAT(0) space; directed graph; nonexpansive mapping; Browder's convergence theorem; Halpern iteration process; FIXED-POINTS; BANACH;

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 introduce the concept of a CAT(0) space endowed with a graph. Browder's convergence theorem and Halpern iteration process for G-nonexpansive mappings in an underlying space will be presented. This result extends and generalizes the result of Tiammee, Kaewkhao and Suantai (2015).

引用

页码：775 / 787

页数：13

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