Abstract of a paper by Hossein Dehghan
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 http://arXiv.org/abs/1111.7107
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