Volume 14, Issue 1 (4-2019)                   IJMSI 2019, 14(1): 167-179 | Back to browse issues page

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Iterative Process for an α- Nonexpansive Mapping and a Mapping Satisfying Condition(C) in a Convex Metric Space
H. Fukhar-ud-din
Abstract:  

We construct one-step iterative process for an α- nonexpansive mapping and a mapping satisfying condition (C) in the framework of a convex metric space. We study -convergence and strong convergence of the iterative process to the common fixed point of the mappings. Our results are new and are valid in hyperbolic spaces, CAT(0) spaces, Banach spaces and Hilbert spaces, simultaneously.

Keywords: Convex metric space, α-Nonexpansive mapping, Condition(C), Common fixed point, One-step iterative process, Convergence.
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Type of Study: Research paper | Subject: Special
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