Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 572838, 8 pages
doi:10.1155/2010/572838
New hybrid iterative schemes for an infinite family of nonexpansive mappings in Hilbert spaces
Baohua Guo
and Shenghua Wang
School of Mathematics and Physics, North China Electric Power University, Baoding 071003, China
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).