A novel iterative algorithm for approximating common fixed points of generalized α-nonexpansive multivalued mappings in Kohlenbach hyperbolic spaces

Authors

• MAKBULE KAPLAN ÖZEKESFollow

Author ORCID Identifier

MAKBULE KAPLAN ÖZEKES: 0000-0002-7962-702X

Abstract

In this paper, we propose a new iterative scheme involving three multivalued mappings in Kohlenbach hyperbolic spaces. Strong and ∆-convergence theorems are established for approximating common fixed points of nonexpansive multivalued mappings under suitable conditions. A numerical example is also presented to illustrate the efficiency and faster convergence of the proposed method. The results obtained extend and unify several related contributions in the existing literature.

DOI

10.55730/1300-0098.3771

Keywords

Multivalued generalized nonexpansive mappings, strong and ∆-convergence, hyperbolic space, iteration process

First Page

861

Last Page

874

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

KAPLAN ÖZEKES, M (2026). A novel iterative algorithm for approximating common fixed points of generalized α-nonexpansive multivalued mappings in Kohlenbach hyperbolic spaces. Turkish Journal of Mathematics 50 (5): 861-874. https://doi.org/10.55730/1300-0098.3771