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.