Strong Convergence of Modified Halpern Iterations in CAT(0) Spaces

被引：0

作者：

A Cuntavepanit

B Panyanak

机构：

[1] Chiang Mai University,Department of Mathematics, Faculty of Science

[2] Chiang Mai University,Materials Science Research Center, Faculty of Science

来源：

Fixed Point Theory and Applications | / 2011卷

关键词：

Nonexpansive Mapping; Strong Convergence Theorem; Smooth Banach Space; Complete Space; Geodesic Triangle;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Strong convergence theorems are established for the modified Halpern iterations of nonexpansive mappings in CAT(0) spaces. Our results extend and improve the recent ones announced by Kim and Xu (2005), Hu (2008), Song and Chen (2008), Saejung (2010), and many others.

引用

共 50 条

[1] Strong Convergence of Modified Halpern Iterations in CAT(0) Spaces
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[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
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[8] A modified Halpern iteration in CAT(0) spaces
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[9] STRONG CONVERGENCE OF HALPERN'S TYPE ITERATION FOR α-NONEXPANSIVE SEMIGROUP IN BANACH SPACES AND CAT(0) SPACES
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[10] STRONG CONVERGENCE OF MODIFIED NOOR ITERATION IN CAT(0) SPACES
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[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (04) : 1003 - 1016

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