Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings

<p/> <p>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 iterati...

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Bibliographic Details
Main Authors: Xiao Jian-Zhong, Zhu Xing-Hua
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2008/469357