Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 891965, 12 pages
doi:10.1155/2009/891965
Research Article

Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces

Tian You-xian and Yang Chun-de

Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 9 December 2008; Accepted 25 March 2009

Academic Editor: Nanjing Huang

Copyright © 2009 Tian You-xian and Yang Chun-de. 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.

Abstract

We consider a new Noor-type iterative procedure with errors for approximating the common fixed point of a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved for such iterative sequences involving a finite family of uniformly quasi-Lipschitzian mappings. The results presented in this paper extend, improve and unify some main results in previous work.