Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 469357, 8 pages
doi:10.1155/2008/469357
Common fixed point theorems on weakly contractive and nonexpansive mappings
Jian-Zhong Xiao
and Xing-Hua Zhu
Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Abstract
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.