Strong Convergence for Nonexpansive Mappings in Banach Spaces
LI Quan-gang · Journal of Chengdu University of Information Technology · 2010
In this paper,it is shown that in a real smooth and uniformly convex Banach space,a strong convergence theorem of modified Mann iterations for nonexpansive mappings is proved by using generalized metric projections.The purpose of this paper is to modify the iterative scheme of Nakajo and Takahashi by using generalized metric projections,and to extend the corresponding main result of Nakajo and Takahashi from Hilbert spaces to real smooth and uniformly convex Banach spaces.