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  • Article
    Citation - Scopus: 7
    Fixed 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: 16
    A 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: 1
    APPLICATIONS 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: 75
    Fixed 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: 10
    Note 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.
  • Book Part
    Citation - Scopus: 14
    A Short Survey on Dislocated Metric Spaces Via Fixed-Point Theory
    (Springer Singapore, 2017) Karapinar,E.
    In this survey, we collect and combine basic notions and results for the fixed points of certain operators in the frame of dislocated metric (respectively, b-metric) spaces. By preparing a fundamental source, we shall aim to show that there are some rooms for researchers in this interesting and applicable research direction. © Springer Nature Singapore Pte Ltd. 2017. All rights reserved.
  • Article
    Citation - Scopus: 12
    Different Types Meir-Keeler Contractions on Partial Metric Spaces
    (2012) Erhan,I.M.; Karapinar,E.; Türkoǧlu,D.
    In this manuscript, Meir-Keeler contractions on partial metric spaces are introduced. It is shown that if a self-mapping T on a complete partial metric spaces is a Meir-Keeler contraction, then T has a unique fixed point. © 2012 EUDOXUS PRESS, LLC.
  • Article
    Citation - Scopus: 62
    Weak ø-Contraction on partial metric spaces
    (2012) Karapinar,E.
    In this manuscript, the notion of weak ø-contraction is considered on partial metric space. It is shown that a self mapping T on a complete partial metric space X has a fixed point if they satisfied weak ø-contraction. © 2012 EUDOXUS PR20E6SS, LLC.