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Browsing by Author "Hassan, T.S."

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    On the Fixed Point Theorem for Large Contraction Mappings With Applications To Delay Fractional Differential Equations
    (Multidisciplinary Digital Publishing Institute (MDPI), 2024) Mesmouli, M.B.; Akın, E.; Iambor, L.F.; Tunç, O.; Hassan, T.S.
    This paper explores a new class of mappings and presents several fixed-point results for these mappings. We define these mappings by combining well-known mappings in the literature, specifically the large contraction mapping and Chatterjea’s mapping. This combination allows us to achieve significant fixed-point results in complete metric spaces, both in a continuous and a non-continuous sense. Additionally, we provide an explicit example to validate our findings. Furthermore, we discuss a general model for fractional differential equations using the Caputo derivative. Finally, we outline the benefits of our study and suggest potential areas for future research. © 2024 by the authors.