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Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces
Journal article   Open access  Peer reviewed

Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces

B. A. Ibn Dehaish, M. A. Khamsi and A. R. Khan
Journal of mathematical analysis and applications, Vol.397(2), pp.861-868
15/01/2013
DOI: https://doi.org/10.1016/j.jmaa.2012.08.013

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Let (M, d) be a complete 2-uniformly convex metric space. Let C be a nonempty, bounded, closed, and convex subset of M, and let T : C -> C be an asymptotic pointwise nonexpansive mapping. In this paper, we prove that the modified Mann iteration process defined by Xn+1 = t(n)T(n) (x(n)) circle plus (1 - t(n))x(n) converges in a weaker sense to a fixed point of T. (C) 2012 Elsevier Inc. All rights reserved.
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https://doi.org/10.1016/j.jmaa.2012.08.013View
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