Abstract and Applied Analysis
Volume 2010 (2010), Article ID 706587, 15 pages
doi:10.1155/2010/706587
Research Article

A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces

Pornsak Yatakoat and Suthep Suantai

Department of Mathematics, Faculty of Science, Chiangmai University, Chiangmai 50200, Thailand

Received 24 June 2010; Accepted 6 September 2010

Academic Editor: Nikolaos Papageorgiou

Copyright © 2010 Pornsak Yatakoat and Suthep Suantai. 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 introduce a new iterative scheme to approximate a common fixed point for a finite family of generalized asymptotically quasinonexpansive mappings. Several strong and weak convergence theorems of the proposed iteration in Banach spaces are established. The main results obtianed in this paper generalize and refine many known results in the current literature.