Halpern's Iteration in CAT(0) Spaces

被引：85

作者：

Saejung, Satit ^{[1
,2
]}

机构：

[1] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

COMMON FIXED-POINTS; NONEXPANSIVE-MAPPINGS; CONVERGENCE; APPROXIMATION;

D O I：

10.1155/2010/471781

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by Halpern's result, we prove strong convergence theorem of an iterative sequence in CAT(0) spaces. We apply our result to find a common fixed point of a family of nonexpansive mappings. A convergence theorem for nonself mappings is also discussed.

引用

页数：13

共 17 条

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