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

IIn 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. ¨