Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 48174, 9 pages
doi:10.1155/2007/48174
Research Article
Strong Convergence of Modified Implicit Iteration Processes for Common Fixed Points of Nonexpansive Mappings
Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Received 21 December 2006; Accepted 19 March 2007
Academic Editor: William Art Kirk
Copyright © 2007 Fang Zhang and Yongfu Su. 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.
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.