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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: 1Imperative Remarks for "on Common Coupled Fixed Point Theorems for Comparable Mappings in Ordered Partially Metric Spaces" and an Answer To the Question: How To Smooth It Away(Hindawi Publishing Corporation, 2015) Alsulami,H.H.; Karapinar,E.; Roldán Lpez De Hierro,A.F.We show that the main result in the work by Mutlu et al. is not true. We explain point by point some of its main mistakes and we propose an alternative version to smooth away the defects of it. © 2015 Hamed H. Alsulami et al.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: 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.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: 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.
