Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 572838, 8 pages
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.


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).