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arXiv · 1111.7107

Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections

Hossein Dehghan
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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.

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Hossein Dehghan. 2011-11-30. Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections. https://arxiv.org/abs/1111.7107

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