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Fixed Point Theory and Algorithms for Sciences and Engineering
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Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings

Fixed Point Theory and Applications volume 2008, Article number: 649162 (2008) Cite this article

Abstract

The purpose of this paper is to consider that a modified Halpern's iterative sequence converges strongly to a fixed point of nonexpansive mappings in Banach spaces which have a uniformly Gâteaux differentiable norm. Our result is an extension of the corresponding results.

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  1. Department of Mathematics, Ningbo University, Ningbo, 315211, China

    Liang-Gen Hu

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  1. Liang-Gen Hu
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Correspondence to Liang-Gen Hu.

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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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Hu, LG. Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings. Fixed Point Theory Appl 2008, 649162 (2008). https://doi.org/10.1155/2008/649162

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  • DOI: https://doi.org/10.1155/2008/649162

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