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Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces

Fixed Point Theory and Applications volume 2005, Article number: 685918 (2005) Cite this article

Abstract

In 1979, Ishikawa proved a strong convergence theorem for finite families of nonexpansive mappings in general Banach spaces. Motivated by Ishikawa's result, we prove strong convergence theorems for infinite families of nonexpansive mappings.

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  1. Department of Mathematics, Kyushu Institute of Technology, 1-1 Sensuicho, Tobataku, Kitakyushu, 804-8550, Japan

    Tomonari Suzuki

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  1. Tomonari Suzuki
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Correspondence to Tomonari Suzuki.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Suzuki, T. Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces. Fixed Point Theory Appl 2005, 685918 (2005). https://doi.org/10.1155/FPTA.2005.103

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  • DOI: https://doi.org/10.1155/FPTA.2005.103