Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 680930, 11 pages
On the Convergence Theorems for a Countable Family of Lipschitzian Pseudocontraction Mappings in Banach Spaces
1Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China
2Department of Mathematics Education, Kyungnam University, Masan, Kyungnam 631-701, Republic of Korea
3Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
Received 26 October 2010; Revised 2 December 2010; Accepted 16 December 2010
Academic Editor: Yeol J. E. Cho
Copyright © 2011 Shih-sen Chang et al. 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.
The purpose of this paper is to study the weak and strong convergence theorems of the
implicit iteration process for a countable family of Lipschitzian pseudocontraction mappings in Banach spaces. The results presented in this paper extend and improve some recent results announced by some authors.