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    Proximity Point Results for Generalized p-Cyclic Reich Contractions: An Application to Solving Integral Equations
    (Mdpi, 2023) Alamri, Hind; Hussain, Nawab; Altun, İshak
    This article studies new classes of contractions called the p-cyclic Reich contraction and p-cyclic Reich contraction pair and develops certain best proximity point results for such contractions in the setting of partial metric spaces. Furthermore, the best proximity point results for p-proximal cyclic Reich contractions of the first and second types are also discussed.
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    Öğe
    Some Fixed-Point Theorems in Proximity Spaces with Applications
    (Mdpi, 2022) Qasim, Muhammad; Alamri, Hind; Altun, Ishak; Hussain, Nawab
    Considering the omega-distance function defined by Kostic in proximity space, we prove the Matkowski and Boyd-Wong fixed-point theorems in proximity space using omega-distance, and provide some examples to explain the novelty of our work. Moreover, we characterize Edelstein-type fixed-point theorem in compact proximity space. Finally, we investigate an existence and uniqueness result for solution of a kind of second-order boundary value problem via obtained Matkowski-type fixed-point results under some suitable conditions.