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Author: Karapinar, E.Scopus Q: Q1

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    Citation - Scopus: 11
    Some Fixed Points Results on Branciari Metric Spaces Via Implicit Functions
    (North University of Baia Mare, 2015) Karapinar, E.
    In this paper, we introduce the notion of α-implicit contractive mapping of integral type in the context of Branciari metric spaces. The results of this paper, generalize and improve several results on the topic in literature. We give an example to illustrate our results. © 2015, North University of Baia Mare. All rights reserved.
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    Citation - WoS: 7
    Citation - Scopus: 9
    A New Approach To the Existence and Uniqueness of Solutions for A Class of Nonlinear Q-Fractional Boundary Value Problems
    (Institute of Applied Mathematics of Baku State University, 2025) Karapinar, E.; Sevinik-Adiguzel, R.; Aksoy, U.; Erhan, I. M.
    The object of this study is a boundary value problem associated with a q-difference equation of fractional order. The existence and uniqueness of a solution in the case of multi-point boundary conditions is studied from the viewpoint of fixed point theory. An integral equation equivalent to the boundary value problem is derived and the fixed points of the related integral operator are investigated by using a contractive condition involving a comparison function. The Ulam-Hyers stability of the problem is also discussed. Theoretical results are followed by a particular example.
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    Article
    Citation - WoS: 21
    Citation - Scopus: 18
    On a Cyclic Jungck Modified ts-iterative Procedure With Application Examples
    (Elsevier Science inc, 2014) De la Sen, M.; Karapinar, E.; Alemdaroğlu Temel, Mine; Alemdaroğlu Temel, Mine
    This article investigates some convergence properties of quasi-cyclic and cyclic Jungck modified TS-iterative schemes in complete metric spaces and Banach spaces. The uniqueness of the best proximity points is investigated. It is basically assumed that one of the self-mappings is asymptotically nonexpansive while the other is asymptotically contractive with several particular cases. Some application examples are also discussed. (C) 2014 Elsevier Inc. All rights reserved.