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.
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页数：13
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