This is an announcement for the paper "Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections" by Hossein Dehghan.
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.
Archive classification: math.FA
Mathematics Subject Classification: 47H09, 47H10
Submitted from: h_dehghan@iasbs.ac.ir
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1111.7107
or