Open Access

Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings

Fixed Point Theory and Applications20082008:649162

DOI: 10.1155/2008/649162

Received: 12 September 2008

Accepted: 9 December 2008

Published: 21 December 2008


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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Authors’ Affiliations

Department of Mathematics, Ningbo University


© Liang-Gen Hu. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.