AU - Fukhar-ud-din, H. TI - Iterative Process for an α- Nonexpansive Mapping and a Mapping Satisfying Condition(C) in a Convex Metric Space PT - JOURNAL ARTICLE TA - IJMSI JN - IJMSI VO - 14 VI - 1 IP - 1 4099 - http://ijmsi.ir/article-1-985-en.html 4100 - http://ijmsi.ir/article-1-985-en.pdf SO - IJMSI 1 AB  - 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. CP - IRAN IN - LG - eng PB - IJMSI PG - 167 PT - Research paper YR - 2019