Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections
Functional Analysis
2011-12-01 v1
Abstract
In this paper, a strong convergence theorem for asymptotically nonexpansive mappings in a uniformly convex and smooth Banach space is proved by using metric projections. This theorem extends and improves the recent strong convergence theorem due to Matsushita and Takahashi [ Appl. Math. Comput. 196 (2008) 422-425] which was established for nonexpansive mappings.
Keywords
Cite
@article{arxiv.1111.7107,
title = {Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections},
author = {Hossein Dehghan},
journal= {arXiv preprint arXiv:1111.7107},
year = {2011}
}