DOI: 10.1515/dema-2025-0263 ISSN: 2391-4661
Some results for fixed point theorem on hyperbolic metric space and application to constrained minimization problems
Araya Kheawborisut, Atid KangtunyakarnAbstract
The focus of this article is to present a novel iterative scheme and to establish the △-convergence theorem for the Reich-Suzuki type nonexpansive mappings in hyperbolic metric spaces. Furthermore, we introduce a new lemma that enables us to obtain solutions to constrained minimization problems in 2-uniformly convex hyperbolic metric spaces. The main results are then applied to solve such minimization problems. Finally, a numerical example is provided to illustrate the theoretical findings.