Affiliations: [a] Department of Mathematics, University of Jeddah, Saudi Arabia
| [b] Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, Tunisia
| [c] China Medical University Hospital, China Medical University, Taiwan
| [d] Department of Mathematics and General Sciences, Prince Sultan University, Saudi Arabia
Correspondence:
[*]
Corresponding author. Nabil Mlaiki, Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia. E-mails: [email protected]; [email protected].
Abstract: In this manuscript, we study the existence of common α- fuzzy fixed points for fuzzy mappings via F-contractions on a metric space. We obtain some common fixed points of fuzzy (multivalued) mappings satisfying an F-contraction associated with the σ∞ (Hausdorff) metric. In closing, we provide an application of our results.
Keywords: F-contraction, complete metric space, fixed point, fuzzy mapping
