On Convergence Analysis of Nonexpansive Mappings Through the Implicit Midpoint Method in Hyperbolic Spaces

Hafiz Fukhar Ud Din, Amna Kalsoom, Naeem Saleem, Imran Zulfiqar Cheema and Ali Althobaiti

Journal of Mathematics, 2026, vol. 2026, 1-7

Abstract: Using the implicit midpoint rule (IMR), we provide Δ-convergence and strong convergence theorems for a finite family of nonexpansive mappings in the context of uniformly convex hyperbolic spaces. We additionally prove these conclusions in the context of CAT0 spaces and uniformly convex Banach spaces as noteworthy specific examples for completeness and to demonstrate the generality of our method.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4263794

DOI: 10.1155/jom/4263794

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