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

Fang Zhang and Yongfu Su

 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Received 21 December 2006; Accepted 19 March 2007

Recommended by William Art Kirk

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.