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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 On relaxing the constant of Chatterjea contraction(Springernature, 2023) Güngör, Gonca Durmaz; Altun, İshakIn this paper, we present some fixed point results for Chatterjea type mappings on metric space. Here, by considering some additional condition we relaxed the contractive constant up to 1.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.
