Open Access

Strong Convergence of Modified Implicit Iteration Processes for Common Fixed Points of Nonexpansive Mappings

Fixed Point Theory and Applications20072007:048174

DOI: 10.1155/2007/48174

Received: 21 December 2006

Accepted: 19 March 2007

Published: 24 April 2007

Abstract

Strong convergence theorems are obtained by hybrid method for modified composite implicit iteration process of nonexpansive mappings in Hilbert spaces. The results presented in this paper generalize and improve the corresponding results of Nakajo and Takahashi (2003) and others.

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Authors’ Affiliations

(1)
Department of Mathematics, Tianjin Polytechnic University

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Copyright

© F. Zhang and Y. Su. 2007

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.