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Approximation of Common Fixed Points of Pointwise Asymptotic Nonexpansive Maps in a Hadamard Space

Approximation of Common Fixed Points of Pointwise Asymptotic Nonexpansive Maps in a Hadamard Space

作     者:Safeer Hussain Khan H. Fukhar-ud-din 

作者机构:Department of Mathematics and Statistics King Fahd University of Petroleum and Minerals Dhahran KSA Department of Mathematics Statistics and Physics Qatar University Doha Qatar 

出 版 物:《Advances in Pure Mathematics》 (理论数学进展(英文))

年 卷 期:2012年第2卷第6期

页      面:450-456页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Pointwise Asymptotic Nonexpansive Map Common Fixed Point Ishikawa Iteration Process Strong Convergence Weak Convergence 

摘      要:We establish weak and strong convergence of Ishikawa type iterates of two pointwise asymptotic nonexpansive maps in a Hadamard space. For weak and strong convergence results, we drop “rate of convergence condition, namely (Cn(x)-1) to answer in the affirma-tive to the open question posed by Tan and Xu [1] even in a general setup.

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