Strong convergence of modified Halpern iterations in CAT(0) spaces

B. Panyanak; A. Cuntavepanit

doi:10.1155/2011/869458

Strong convergence of modified Halpern iterations in CAT(0) spaces

B. Panyanak
, A. Cuntavepanit

Chiang Mai University

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

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.

Original language	English
Article number	869458
Journal	Fixed Point Theory and Applications
Volume	2011
DOIs	https://doi.org/10.1155/2011/869458
Publication status	Published - 2011
Externally published	Yes

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title = "Strong convergence of modified Halpern iterations in CAT(0) spaces",

abstract = "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.",

author = "B. Panyanak and A. Cuntavepanit",

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AB - 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.

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DO - 10.1155/2011/869458

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SN - 1687-1820

VL - 2011

JO - Fixed Point Theory and Applications

JF - Fixed Point Theory and Applications

M1 - 869458

ER -

Strong convergence of modified Halpern iterations in CAT(0) spaces

Abstract

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