Research Article
DOI: https://doi.org/10.61336/jcm2022-1

Approximation Method for Finding Fixed Point of Generalized Suzuki Nonexpansive Mappings on Hyperbolic Spaces

Volume 47 (2022)
Pages: 1-11
Open Access
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A. B. Henry\(^{1}\)

\(^{1}\)Department of Computer Sciences, The University of Melbourne, Melbourne, Australia

Received: 12/03/2022
Revised: 20/08/2022
Accepted: 23/08/2022
Published: 30/12/2022

Abstract

In this article, we aim to prove strong and Δ-convergence theorems of Noor iterative process for generalized Suzuki nonexpansive mappings (GSNM) on uniform convex hyperbolic spaces. Due to the richness of uniform convex hyperbolic spaces, the results of this paper can be used as an extension and generalization of many famous results in Banach spaces together with CAT(0) spaces.

Keywords: convergence, hyperbolic spaces, iteration process., Mappings

Copyright © 2023 A. B. Henry. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.