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Browsing by Author "Rashwan, Rashwan A."

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    Citation - WoS: 1
    Citation - Scopus: 2
    Existence and Well-Posedness of Tripled Fixed Points with Application to a System of Differential Equations
    (Mdpi, 2022) Rashwan, Rashwan A.; Hammad, Hasanen A.; Nafea, Ahmed; Jarad, Fahd; 234808; Matematik
    The purpose of this manuscript is to demonstrate the existence and uniqueness of triple fixed-point results for Geraghty-type contractions in ordinary metric spaces with binary relations. Moreover, the well-posedness of the tripled fixed point problem is investigated. Consequently, a-dominated mapping on such space is discussed. Ultimately, to promote our paper, some illustrative examples are derived, and the existence of the solution to a system of differential equations is obtained as an application.
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    Citation - WoS: 0
    Citation - Scopus: 2
    Quadruple Best Proximity Points with Applications to Functional and Integral Equations
    (Wiley, 2022) Hammad, Hasanen A.; Rashwan, Rashwan A.; Nafea, A.; Jarad, Fahd; 234808; Matematik
    This manuscript is devoted to obtaining a quadruple best proximity point for a cyclic contraction mapping in the setting of ordinary metric spaces. The validity of the theoretical results is also discussed in uniformly convex Banach spaces. Furthermore, some examples are given to strengthen our study. Also, under suitable conditions, some quadruple fixed point results are presented. Finally, as applications, the existence and uniqueness of a solution to a system of functional and integral equations are obtained to promote our paper.