Fixed Point Theory and Applications
Volume 2006 (2006), Issue 3, Pages 70830, 8 p.
doi:10.1155/FPTA/2006/70830
Approximation common fixed point of asymptotically quasi-nonexpansive-type mappings by the finite steps iterative sequences
Jing Quan1
, Shih-Sen Chang2
and Xian Jun Long1
1Department of Mathematics, Chongqing Normal University, Chongqing 400047, China
2Department of Mathematics, Yibin University, Yibin 644007, Sichuan, China
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.