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Article Citation - Scopus: 76Fixed 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 Citation - Scopus: 10Note on “modified Α-Ψ Mappings With Applications”(Chiang Mai University, 2015) Berzig,M.; Karapinar,E.In this short paper, we unexpectedly notice that the modified version of α-ψ-contractivemappings, suggested by Salimi et al. [Modified α-ψ-contractive mappings with applications, Fixed Point Theory and Applications 2013, 2013:151] is not a real generalization. © 2015 by the Mathematical Association of Thailand. All rights reserved.Article Citation - Scopus: 113Solution of fractional differential equations via coupled fixed point(Texas State University - San Marcos, 2015) Afshari,H.; Kalantari,S.; Karapinar,E.In this article, we investigate the existence and uniqueness of a solution for the fractional differential equation by introducing some new coupled fixed point theorems for the class of mixed monotone operators with pertur-bations in the context of partially ordered complete metric space. © 2015 Texas State University - San Marcos.Article Citation - Scopus: 11On (α-Φ) Contractions on Partial Hausdorff Metric Spaces(Politechnica University of Bucharest, 2018) Chen,C.-M.; Karapinar,E.; O'Regan,D.In this note we introduce the concept of a (α - φ)-Meir-Keeler contraction for multi-valued mappings and we investigate the existence of fixed points of such mappings in a complete partial metric space. Our results generalize, extend and unify several recent fixed point results. © 2018 Politechnica University of Bucharest. All rights reserved.Article Citation - Scopus: 17Fixed Point Theory for the Α-Admissible Meir-Keeler Type Set Contractions Having Kkm* Property on Almost Convex Sets(Natural Sciences Publishing, 2017) Chen,C.-M.; Abkar,A.; Ghods,S.; Karapinar,E.The purpose of this paper is to study fixed points for the KKM* family satisfying the a-admissible Meir-Keeler-type set contractions with respect to the set measure σp of noncompactness in the context of Hausdorff topological vector spaces. Our results generalize or improve many recent fixed point theorems for the KKM family in the literature. Subject class: [2000]46T99,47H10, 54C60, 54H25, 55M20. © 2017 NSP.Article Citation - Scopus: 7Fixed Point Theory for Cyclic Generalized (φ-Φ) Mappings(Springer-Verlag Italia s.r.l., 2013) Karapinar,E.; Moradi,S.Fixed point results are presented for cyclic generalized (φ{symbol}-φ)-contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Ćirić, Moradi and Khojasteh, and Karapinar. © 2012 Università degli Studi di Ferrara.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.Article Citation - Scopus: 6Fixed Point Results in Orbitally Complete Partial Metric Spaces(2013) Nashine,H.K.; Karapinar,E.In this paper, we prove two fixed point theorems for maps that satisfy a contraction principle involving a rational expression in complete partial metric spaces.Article Citation - Scopus: 54Fixed Point Results for Generalized Α-Ʋ in Metric-Like Spaces and Applications(Texas State University - San Marcos, 2015) Aydi,H.; Karapinar,E.In this article, we introduce the concept of generalized α- ʋ -con- traction in the context of metric-like spaces and establish some related fixed point theorems. As consequences, we obtain some known fxed point results in the literature. Some examples and an application on two-point boundary value problems for second order differential equation are also considered. © 2015 Texas State University - San Marcos.Article Citation - Scopus: 7On Α*-Ψ Multi-Valued Operators in B-Metric Spaces and Applications(Natural Sciences Publishing Co., 2015) Bota,M.-F.; Ilea,V.; Karapinar,E.; Mleşniţe,O.In this paper, we will prove some existence and uniqueness theorems for α*-ψ contractive type operators defined over bmetric spaces. In particular, we will provide results related to Ulam-Hyers stability, well-posedness and limit shadowing. The theorems presented will extend, generalize or unify several statements currently exist in the literature on those topics.We will also give examples to illustrate the applications our results. © 2015 NSP Natural Sciences Publishing Cor.
