Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 279058, 7 pages
doi:10.1155/2009/279058
Strong convergence of two iterative algorithms for nonexpansive mappings in Hilbert spaces
Yonghong Yao1
, Yeong Cheng Liou2
and Giuseppe Marino3
1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan
3Dipartimento di Matematica, Universitá della Calabria, 87036 Arcavacata di Rende (CS), Italy
Abstract
We introduce two iterative algorithms for nonexpansive mappings in Hilbert spaces. We prove that the proposed algorithms strongly converge to a fixed point of a nonexpansive mapping T.