Title of article :
Iterative Process for an α− Nonexpansive Mapping and a Mapping Satisfying Condition(C) in a Convex Metric Space
Author/Authors :
Fukhar-ud-din, Hafiz Department of Mathematics and Statistics - King Fahd University of Petroleum and Minerals, Saudi Arabia
Abstract :
We construct one−step iterative process for an α− nonexpan-
sive mapping and a mapping satisfying condition (C) in the framework of
a convex metric space. We study Δ−convergence and strong convergence
of the iterative process to the common fixed point of the mappings. Our
results are new and valid in hyperbolic spaces, CAT(0) spaces, Banach
spaces and Hilbert spaces, simultaneously.
Keywords :
Convergence , Common fixed point , Condition(C) , α−Nonexpansive mapping , One−step iterative process , Convex metric space
