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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: 16A gap in the paper a note on cone metric fixed point theory and its equivalence(Gazi Universitesi, 2011) Abdeljawad,T.; Karapinar,E.There is a gap in Theorem 2.2 of the paper of Du [1]. In this paper, we shall state the gap and repair it.Article On Pairs of ℓ-Köthe Spaces(Hacettepe University, 2010) Karapinar,E.Let ℓ be a Banach sequence space with a monotone norm {double pipe}· {double pipe} ℓ, in which the canonical system (ei) is a normalized unconditional basis. Let a = (ai), ai → ∞, λ = (λi) be sequences of positive numbers. We study the problem on isomorphic classification of pairs F = (Kℓ(exp(-1/p ai)),Kℓ(exp (-1/p ai + λi))). For this purpose, we consider the sequence of so-called m-rectangle characteristics μF m. It is shown that the system of all these characteristics is a complete quasidiagonal invariant on the class of pairs of finite-type ℓ-power series spaces. By using analytic scale and a modification of some invariants (modified compound invariants) it is proven that m-rectangular characteristics are invariant on the class of such pairs. Deriving the characteristic β̃ from the characteristic β, and using the interpolation method of analytic scale, we are able to generalize some results of Chalov, Dragilev, and Zahariuta (Pair of finite type power series spaces, Note di Mathematica 17, 121-142, 1997).Article Citation - Scopus: 1APPLICATIONS OF NON-UNIQUE FIXED POINT THEOREM OF CIRIC TO NONLINEAR INTEGRAL EQUATIONS(Department of Mathematics and Computer Sciences, University of Prishtina, 2019) Sevіnіk-Adigіüzel,R.; Karapinar,E.; Erhan,I.In this paper we discuss the application of the non-unique fixed point theorem of Cirić to nonlinear Fredholm integral equations. We establish an existence theorem for the solutions of such integral equations and apply the theorem to particular examples. © 2019 Universiteti i Prishtinës, Prishtinë, Kosovë.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.
