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Article On a Generalized Α-Admissible Rational Type Contractive Mapping(Yokohama Publications, 2016) Erhan,I.M.; Kir,M.Recently, many generalized contractive conditions which involve rational contractive inequalities have been introduced in the context of partially ordered metric spaces. In this paper, we aim to give a generalized rational contractive condition which involves some of these results without need of extra restrictions. © 2016.Article Citation - Scopus: 75Fixed Points of Generalized Α-Admissible Contractions on B-Metric Spaces With an Application To Boundary Value Problems(Yokohama Publications, 2016) Aksoy,Ü.; Karapinar,E.; Erhan,I.M.A general class of α-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations. © 2016.Article Existence of Fixed Points for New Presic Type Multivalued Operators(Yokohama Publications, 2017) Ali,M.U.; Kamran,T.; Karapinar,E.In this paper, we shall generalize the convergence theorem introduced by Presic in 1965, by introducing the notions of a-Presic type contractive multivalued operators. We shall also construct some examples to prove the generality of our results. © 2017.Article Citation - Scopus: 29On Α-Ψ Contraction Type Mappings on Quasi-Branciari Metric Spaces(Yokohama Publications, 2016) Karapinar,E.; Pitea,A.In this paper, we state and prove results regarding α-ψ-Geraghty contractive mappings in the setting of quasi-Branciari metric spaces. We provide existence and uniqueness results for periodic and fixed points of such mappings. © 2016.Article Citation - Scopus: 1Discussion on the Equivalence of W-Distances With Ω-Distances(Yokohama Publications, 2015) Roldán-López-De-Hierro,A.-F.; Karapınar, Erdal; Karapinar,E.; Karapınar, Erdal; Mathematics; MathematicsIn this manuscript, we study some relationships between w-distances on metric spaces and Ω-distances on G*-metric spaces. Concretely we show that the class of all w-distances on metric spaces is a subclass of all Ω-distances on G*-metric spaces. Then, researchers must be careful because some recent results about w-distances (for instances, in the topic of fixed point theory) can be seen as simple consequences of their corresponding results about Ω-distances. In this sense, we show how to translate some results between different metric models. © 2015.
