On the Fixed Point Theorem for Large Contraction Mappings With Applications To Delay Fractional Differential Equations

Mesmouli, M.B.Akın, E.Iambor, L.F.Tunç, O.Hassan, T.S.2025-05-102025-05-1020242504-311010.3390/fractalfract81207032-s2.0-85213443244https://doi.org/10.3390/fractalfract8120703https://hdl.handle.net/20.500.14720/3377This 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.eninfo:eu-repo/semantics/openAccessCaputo OperatorChatterjea’S MapComplete Metric SpaceFixed PointLarge ContractionOn the Fixed Point Theorem for Large Contraction Mappings With Applications To Delay Fractional Differential EquationsArticle812Q1Q1