Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 572838, 8 pages
doi:10.1155/2010/572838
Research Article
New Hybrid Iterative Schemes for an Infinite Family of Nonexpansive Mappings in Hilbert Spaces
School of Mathematics and Physics, North China Electric Power University, Baoding 071003, China
Received 20 November 2009; Accepted 4 February 2010
Academic Editor: Anthony To Ming Lau
Copyright © 2010 Baohua Guo and Shenghua Wang. 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 propose some new iterative schemes for finding common fixed point of an infinite family of nonexpansive mappings in a Hilbert space and prove the strong convergence of the proposed schemes. Our results extend and improve ones of Nakajo and Takahashi (2003).