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| Common Fixed Point of the Commutative F-Contraction Self-mappings with Uniquely Bounded Sequence |
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| KeyWord:Contraction mapping, fixed point, common fixed point |
| Author Name | Affiliation | | Djamel Deghoul | Laboratory of Fundamental and Numerical Mathematics, Faculty of Sciences, Ferhat Abbas University S\'{e}tif 19137, Algeria | | Zoheir Chebel | Department of Mathematics, Si El Haoues University Center Barika, Algeria
Laboratory of Advanced Electronics and Telecommunications, El Bachir El Ibrahimi University Bordj Bou Arreridj, Algeria | | Abdellatif Boureghda | Laboratory of Fundamental and Numerical Mathematics, Faculty of Sciences, Ferhat Abbas University S\'{e}tif 19137, Algeria | | Salah Benyoucef | Department of Mathematics University of 20 ao\^{u}t 1955 Skikda, Algeria |
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| Abstract: |
| We establish the existence of a common fixed point for mappings that satisfy and extend the F-contraction condition. To support our findings, we present pertinent definitions and properties associated with F-contraction mappings. Additionally, we establish an analogue to the Banach contraction theorem. Our results contribute to the broader understanding of this field by extending and generalizing existing findings in the literature. |
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