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Öğe A new result of preši? type theorems with applications to second order boundary value problems(University of Nis, 2021) Altun, Ishak; Qasim, Muhammad; Olgun, MuratIn this paper, taking into account the recent contractive technique we present a new result of Preši? type fixed point theorems. Then, we provide a comparative example to put forth the validity of our theoretical result. Finally, considering a special case of the main theorem, we give some existence results for the second order two point boundary value problems. © 2021, University of Nis. All rights reserved.Öğe A New Result of Presic Type Theorems with Applications to Second Order Boundary Value Problems(Univ Nis, Fac Sci Math, 2021) Altun, Ishak; Qasim, Muhammad; Olgun, MuratIn this paper, taking into account the recent contractive technique we present a new result of Presic type fixed point theorems. Then, we provide a comparative example to put forth the validity of our theoretical result. Finally, considering a special case of the main theorem, we give some existence results for the second order two point boundary value problems.Öğe Some Fixed-Point Theorems in Proximity Spaces with Applications(Mdpi, 2022) Qasim, Muhammad; Alamri, Hind; Altun, Ishak; Hussain, NawabConsidering 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.