Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces
1 School of Mathematical Sciences, Yancheng Teachers University, Yancheng, Jiangsu 224051, China
2 Department of Mathematics, Hubei Normal University, Huangshi 435002, China
Fixed Point Theory and Applications 2010, 2010:852030 doi:10.1155/2010/852030Published: 11 October 2010
We consider two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces. We proved that the proposed algorithms strongly converge to a common fixed point of a countable family of nonexpansive mappings which solves the corresponding variational inequality. Our results improve and extend the corresponding ones announced by many others.