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Article Citation - Scopus: 3Coincidence Points for Expansive Mappings Under C-Distance in Cone Metric Spaces(2012) Aydi,H.; Karapinar,E.; Moradi,S.We establish some fixed (common fixed) and coincidence point results for mappings verifying some expansive type contractions in cone metric spaces with the help of the concept of a c-distance. Our results generalize, extend, and unify several well-known comparable results in the literature. Some examples are also presented. Copyright © 2012 Hassen Aydi et al.Article Citation - Scopus: 13Some tripled coincidence point theorems for almost generalized contractions in ordered metric spaces(2013) Aydi,H.; Karapinar,E.; Mustafa,Z.In this paper, we prove tripled coincidence and common fixed point theorems for F : X × X × X → X and g : X → X satisfying almost generalized contractions in partially orderedmetric spaces. The presented results generalize the theoremof Berinde and Borcut [Tripled fixed point theorems for contractive typemappings in partially orderedmetric spaces, Nonlinear Anal. 74 (15) (2011) 4889-4897]. Also, some examples are presented.Article Citation - Scopus: 29Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions(University of Miskolc, 2013) Karapinar,E.; Shatanawi,W.; Tas,K.We establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result. © Miskolc University Press.Article Citation - WoS: 11Citation - Scopus: 7Edelstein Type Fixed Point Theorems(Tusi Mathematical Research Group, 2011) Karapinar,E.; Karapınar, Erdal; Karapınar, Erdal; Mathematics; MathematicsRecently, Suzuki [Nonlinear Anal. 71 (2009), no. 11, 5313-5317.] published a paper on which Edelstein’s fixed theorem was generalized. In this manuscript, we give some theorems which are the generalization of the fixed theorem of Suzuki’s Theorems and thus Edelstein’s result [J. London Math. Soc. 37 (1962), 74-79]. © 2011, Duke University Press. All rights reserved.Article Citation - Scopus: 25Some Generalizations of Darbo’s Theorem and Applications To Fractional Integral Equations(Springer International Publishing, 2016) Jleli,M.; Karapinar,E.; O’Regan,D.; Samet,B.In this paper, some generalizations of Darbo’s fixed point theorem are presented. An existence result for a class of fractional integral equations is given as an application of the obtained results. © 2016, Jleli et al.Article Citation - Scopus: 9A Fixed Point Result for Boyd-Wong Cyclic Contractions in Partial Metric Spaces(2012) Aydi,H.; Karapinar,E.A fixed point theorem involving Boyd-Wong-type cyclic contractions in partial metric spaces is proved. We also provide examples to support the concepts and results presented herein. Copyright © 2012 Hassen Aydi and Erdal Karapinar.Article Citation - Scopus: 71A Note on Common Fixed Point Theorems in Partial Metric Spaces(University of Miskolc, 2011) Karapinar,E.In this manuscript, we consider the notion of generalized Sehgal contraction condition in a partial metric space. For the pair of two self mappings (S, T) which satisfies Sehgal contraction condition, we obtain a unique common fixed point. © 2011 Miskolc University Press.Editorial New Contribution To the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems 2014(Hindawi Publishing Corporation, 2015) Du,W.-S.; Karapinar,E.; Lin,L.-J.; Lee,G.M.[No abstract available]Article Citation - Scopus: 12A Note on 'n-tuplet Fixed Point Theorems for Contractive Type Mappings in Partially Ordered Metric Spaces'(2013) Karapinar,E.; Roldán,A.In this note, we show that multidimensional fixed point theorems established in the recent report [M. Ertürk and V. Karakaya, n-tuplet fixed point theorems for contractive type mappings in partially orderedmetric spaces, Journal of Inequalities and Applications 2013, 2013:196] have gaps. Furthermore, the results of the mentioned paper can be reduced to unidimensional (existing) fixed point theorems. ©2013 Karapinar and Roldán; licensee Springer.Article Citation - Scopus: 44Best Proximity Points of Kannan Type Cyclic Weak Ø-Contractions in Ordered Metric Spaces(Ovidius University, 2012) Karapinar,E.In this manuscript, the existence of the best proximity of Kannan Type cyclic weak ø -contraction in ordered metric spaces is investigated. Some results of Rezapour-Derafshpour-Shahzad [22] are generalized.
