Title

Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces

Publication Date

8-1-2013

Document Type

Article

Comments

Ibn Dehaish BA, Khamsi MA, Khan AR. Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces. Journal of Mathematical Analysis and Applications 2013 15 January 2013;397(2):861-8.

Abstract

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 = tnT n (xn) ⊕ (1 − tn)xn converges in a weaker sense to a fixed point of T

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