Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 70830, 8 pages
doi:10.1155/FPTA/2006/70830

Approximation common fixed point of asymptotically quasi-nonexpansive-type mappings by the finite steps iterative sequences

Jing Quan,1 Shih-Sen Chang,2 and Xian Jun Long1

 1Department of Mathematics, Chongqing Normal University, Chongqing 400047, China
2Department of Mathematics, Yibin University, Yibin 644007, Sichuan, China
Received 26 December 2005; Accepted 11 March 2006

Abstract

The purpose of this paper is to study sufficient and necessary conditions for finite-step iterative sequences with mean errors for a finite family of asymptotically quasi-nonexpansive and type mappings in Banach spaces to converge to a common fixed point. The results presented in this paper improve and extend the recent ones announced by Ghost-Debnath, Liu, Xu and Noor, Chang, Shahzad et al., Shahzad and Udomene, Chidume et al., and all the others.