Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 962303, 7 pages
doi:10.1155/2009/962303
Research Article

Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space

Yi-An Chen

College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China

Received 23 June 2009; Accepted 12 October 2009

Academic Editor: Anthony To Ming Lau

Copyright © 2009 Yi-An Chen. 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 modified Ishikawa iterative process for approximating a fixed point of two infinitely nonexpansive self-mappings by using the hybrid method in a Hilbert space and prove that the modified Ishikawa iterative sequence converges strongly to a common fixed point of two infinitely nonexpansive self-mappings.