Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 324575, 12 pages
Research Article

Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces

You Xian Tian,1 Shih-sen Chang,2 Jialin Huang,2 Xiongrui Wang,2 and J. K. Kim3

1College of Mathematics and Physics, Chongqing University of Post Telecommunications, Chongqing 400065, China
2Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China
3Department of Mathematics, Kyungnam University, Masan 631-701, South Korea

Received 25 May 2008; Accepted 3 September 2008

Academic Editor: Nanjing Huang

Copyright © 2008 You Xian Tian 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.


In this paper, a new implicit iteration process with errors for finite families of strictly asymptotically pseudocontractive mappings and nonexpansive mappings is introduced. By using the iterative process, some strong convergence theorems to approximating a common fixed point of strictly asymptotically pseudocontractive mappings and nonexpansive mappings are proved. The results presented in the paper are new which extend and improve some recent results of Osilike et al. (2007), Liu (1996), Osilike (2004), Su and Li (2006), Gu (2007), Xu and Ori (2001).