Approximating Endpoints of Multi-Valued Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces Using a Novel Iteration Process
DOI:
https://doi.org/10.58715/ncao.2025.4.2Keywords:
Endpoin, \(\Delta\)-convergence, Hyperbolic spaces, Nonexpansive mapping, Strong convergenceAbstract
In this paper, we propose a modified iteration process for approximating the endpoints of multi-valued nonexpansive mappings in 2-uniformly convex hyperbolic spaces, extending the framework of uniformly convex Banach spaces. We establish a \(\Delta\)-convergence theorem for the iterative sequence and, under sufficient conditions, prove strong convergence theorems. These findings extend and improve upon the work of Makbule Kaplan Ozekes and others. ¨
Downloads
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Thanomsak Laokul

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Open Access Policy
This journal provides immediate open access to its content on the principle that making research freely available to the public.
Publication Charges
There are no charges to submit and publish an article in the Nonlinear Convex Analysis and Optimization (NCAO): An International Journal on Numerical, Computation and Applications. All articles published in our journal are open access and are freely and widely available to all readers via the journal website.