Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 469357, 8 pages
Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings
Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Received 8 August 2007; Accepted 26 November 2007
Academic Editor: Jerzy Jezierski
Copyright © 2008 Jian-Zhong Xiao and Xing-Hua Zhu. 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.
A family of commuting nonexpansive self-mappings, one of which is weakly contractive,
are studied. Some convergence theorems are established for the iterations of types Krasnoselski-Mann, Kirk, and Ishikawa to approximate a common fixed point. The error
estimates of these iterations are also given.