Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 48174, 9 pages
Research Article

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

Fang Zhang and Yongfu Su

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.


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.