Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 324575, 12 pages
doi:10.1155/2008/324575
Implicit iteration process for common fixed points of strictly asymptotically pseudocontractive mappings in Banach spaces
You Xian Tian1
, Shih-Sen Chang2
, Jialin Huang2
, Xiongrui Wang2
and J.K. Kim5
1College of Mathematics and Physics, Chongqing University of Post Telecommunications, Chongqing 400065, China
2Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China
5Department of Mathematics, Kyungnam University, Masan 631-701, South Korea
Abstract
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).