A note on the error estimation of the Mann iteration

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摘要

In this note, a new formula of error estimation of the Mann iteration and a sufficient condition of strong convergence of strongly demicontractive mappings are obtained. Moreover, some numerical examples are also given. Our results improve and extend the corresponding results in a recent article (L. Maruster and St. Maruster, 2015).

论文关键词：Error estimation,Mann iteration,Strongly demicontractive mappings,Strong convergence

论文评审过程：Received 19 November 2014, Revised 9 February 2015, Available online 21 February 2015.

论文官网地址：https://doi.org/10.1016/j.cam.2015.02.027