Iterative Process for an α- Nonexpansive Mapping and a Mapping Satisfying Condition(C) in a Convex Metric Space

Author(s):

H. Fukhar , Ud , Din*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:14 Issue: 1, May 2019
Pages:
167 to 179
https://www.magiran.com/p1956544