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