Work

Some fixed point theorems for α-admissible θ-ɸ-multivalued contraction mappings in b-metric spaces

Year: 2024

Type: article

Abstract: In this research paper, a new concept called ?-?-multivalued contractions is introduced for an ?-admissible mapping in the context of b-metric spaces, which is an extension of the ?-?-contractions originally proposed by Rossafi et al. in 2023. Several fixed point theorems are established, including the ?-admissible ?-?-multivalued theorem of Kanan and the ?-admissible ?-?- multivalued theorem of Riech, all in the framework of b-metric spaces. The applicability of these results is demonstrated using illustrative examples.

Source: Applicable Analysis and Discrete Mathematics

DOI: 10.2298/aadm231005024t

Authors: Abdellah Taqbibt, Milica Savatovic, M’hamed Elomari, Said Melliani

Institutions: Université Sultan Moulay Slimane, University of Belgrade

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja

Awards: G3734169391, G4097870259, G8101231546