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Öğe An Existence Result for Second-Order Boundary-Value Problems via New Fixed-Point Theorems on Quasi-Metric Space(Mdpi, 2024) Güngör, Gonca Durmaz; Altun, İshakWe introduce the new idea of (alpha - theta(sigma))-contraction in quasi-metric spaces in this paper. For these kinds of mappings, we then prove new fixed-point theorems on left K, left M, and left Smyth-complete quasi-metric spaces. We also apply our results to infer the existence of a solution to a second-order boundary-value problem.Öğe Some Fixed Point Results for ?-Admissible Mappings on Quasi Metric Space Via ?-Contractions(Murat TOSUN, 2024) Güngör, Gonca Durmaz; Altun, İshakBy implying ?-admissible mapping, this study expands and investigates generalized contraction mappings in quasi-metric spaces, aiming to establish the existence of fixed points. Moreover, we show that the main outcomes of the paper encompass several previously reported results in the literature. © MSAEN.