Stronger convergence theorems for an infinite family of uniformly quasi-Lipschitzian mappings in convex metric spaces

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摘要

The purpose of this paper is to study the Ishikawa type iterative scheme to approximate a common fixed point of infinite families of uniformly quasi-Lipschitzian mappings and nonexpansive mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved. The results presented in the paper generalize, improve and unify some recent results.

论文关键词:Convex metric space,Ishikawa type iterative scheme with errors,Infinite family of uniformly quasi-Lipschitzian mapping,Asymptotically nonexpansive mapping,Asymptotically quasi-nonexpansive mapping

论文评审过程:Available online 31 May 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.05.058