Some fixed point theorems for α-admissible θ-ɸ-multivalued contraction mappings in b-metric spaces
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.
Authors
- Abdellah Taqbibt (ORCID: https://orcid.org/0000-0001-5650-1988)
- Saïd Melliani (ORCID: https://orcid.org/0000-0002-5150-1185)
- Milica Savatović (ORCID: https://orcid.org/0000-0003-0439-1451)
- M’hamed Elomari
Institutions
- University of Belgrade (RS)
- Université Sultan Moulay Slimane (MA)
Publication Details
- Journal
- Applicable Analysis and Discrete Mathematics
- Published
- 2024-12-19
- DOI
- https://doi.org/10.2298/aadm231005024t
- Citations
- 2
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 2.02
Funders
- Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja