Approximating Endpoints of Multi-Valued Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces Using a Novel Iteration Process

Authors

  • Thanomsak Laokul Department of Mathematics and Computing Science, Mahidol Wittayanusorn School, Nakorn Pathom 73170

DOI:

https://doi.org/10.58715/ncao.2025.4.2

Keywords:

Endpoin, \(\Delta\)-convergence, Hyperbolic spaces, Nonexpansive mapping, Strong convergence

Abstract

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. ¨

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Published

2025-05-06

How to Cite

Laokul, T. (2025). Approximating Endpoints of Multi-Valued Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces Using a Novel Iteration Process. Nonlinear Convex Analysis and Optimization: An International Journal on Numerical, Computation and Applications, 4(1), 17–29. https://doi.org/10.58715/ncao.2025.4.2

Issue

Vol. 4 No. 1 (2025): January - June, 2025

Section

Articles

License

Copyright (c) 2025 Thanomsak Laokul

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