Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 280908, 10 pages
Strong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings
1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
Received 2 December 2007; Accepted 2 January 2008
Academic Editor: Ram Verma
Copyright © 2008 Yonghong Yao and Yeong-Cheng Liou. 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 for approximation of common fixed
points of a finite family of pseudocontractive mappings are proven in Banach
spaces using an implicit iteration scheme. The results presented in this paper
improve and extend the corresponding results of Osilike, Xu and Ori, Chidume
and Shahzad, and others.