A characterization of the convergence of Picard iteration to a fixed point for a continuous mapping and an application
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摘要
Necessary and sufficient conditions for the convergence of Picard iteration to a fixed point for a continuous mapping in metric spaces are established. As application, we prove the convergence theorem of Ishikawa iteration to a fixed point for a nonexpansive mapping in Banach spaces.
论文关键词：Asymptotically regular,Nonexpansive,Picard iteration,Mann iteration,Ishikawa iteration
论文评审过程：Available online 20 January 2005.
论文官网地址：https://doi.org/10.1016/j.amc.2004.10.056
