Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Author: search.filters.author.Karapinar, ErdalWoS Q: search.filters.wosQuartile.Q3

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Now showing 1 - 10 of 11
  • Article
    Citation - WoS: 9
    Citation - Scopus: 9
    Perov Type Mappings With a Contractive Iterate
    (Yokohama Publ, 2021) Karapinar, Erdal; Karapınar, Erdal; Agarwal, Ravi P.; Yesilkaya, Seher Sultan; Matematik
    In this study, we refine the well-known Perov fixed point theorem by using the idea of the contractive iterative at a point in the framework of vector valued metric space. The obtained results of this paper cover the some existing results in this direction in the literature.
  • Article
    Ample Spectrum Contractions in Branciari Distance Spaces
    (Yokohama Publ, 2021) Karapinar, Erdal; Karapınar, Erdal; Lopez de Hierro, Antonio Francisco Roldan; Shahzad, Naseer; De Hierro, A.F.R.L.; Matematik
    Very recently, the notion of ample spectrum contraction has been introduced in order to unify, under the same axioms, a large number of contractive mappings that have had great success in the field of Fixed Point Theory in recent years and that have been used in a wide variety of applications in Nonlinear Analysis (Meir-Keeler contractions, Geragthy contractions, contractions under simulation functions, contractions under R-functions, etc.) However, the subtle conditions that define ample spectrum contractions cannot be extended as they are to new kinds of abstract metric spaces because they involve key properties that are only fulfilled in metric spaces. In this paper, based on a very recent work in which the authors unravel the essential properties of the topology in Branciari spaces, we investigate the reasons why the proposed axiomatic fails in Branciari spaces and we illustrate how to overcome such drawbacks. As a consequence, we characterize the notion of ample spectrum contraction in the setting of Branciari distance spaces and we also investigate the existence and uniqueness of fixed points for such family of contractions in the context of complete Branciari distance spaces.
  • Conference Object
    Citation - WoS: 5
    Citation - Scopus: 7
    On Hybrid Contractions Via Simulation Function in the Context of Quasi-Metric Spaces
    (Yokohama Publ, 2020) Karapinar, Erdal; Fulga, Andreea
    In this manuscript, we aim at investigating the existence of a fixed point theorem for the mappings that satisfy hybrid contraction in the setting of quasi-metric spaces. We provide examples to indicate the validity of the observed results.
  • Article
    Citation - WoS: 16
    Citation - Scopus: 16
    A Gap in the Paper "a Note on Cone Metric Fixed Point Theory and Its Equivalence" [Nonlinear Anal. 72(5), (2010), 2259-2261]
    (Gazi Univ, 2011) Abdeljawad, Thabet; Karapinar, Erdal
    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.
  • Editorial
  • Article
    Citation - WoS: 8
    Citation - Scopus: 14
    Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for Α-Admissible F(Ψ1, Ψ2)-Contractions in M-Metric Spaces
    (Hindawi Ltd, 2020) Karapinar, Erdal; Moustafa, Shimaa, I; Shehata, Ayman; Agarwal, Ravi P.; Al-Mdallal, Qasem M.
    In this paper, we investigate the existence of a unique coupled fixed point for alpha-admissible mapping which is of F(psi(1),psi(2))-contraction in the context ofM-metric space. We have also shown that the results presented in this paper would extend many recent results appearing in the literature. Furthermore, we apply our results to develop sufficient conditions for the existence and uniqueness of a solution for a coupled system of fractional hybrid differential equations with linear perturbations of second type and with three-point boundary conditions.
  • Article
    Citation - WoS: 22
    Citation - Scopus: 28
    Non-Instantaneous Impulsive Fractional Integro-Differential Equations With State-Dependent Delay Br
    (Univ Maragheh, 2022) Salim, Abdelkrim; Aissani, Khalida; Benchohra, Mouffak; Karapinar, Erdal; Benkhettou, Nadia
    This paper deals with the existence and uniqueness of the mild solution of the fractional integro-differential equations with non-instantaneous impulses and state-dependent delay. Our arguments are based on the fixed point theory. Finally, an example to confirm of the results is provided.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 9
    Neutral Functional Sequential Differential Equations With Caputo Fractional Derivative on Time Scales
    (Springernature, 2022) Lazreg, Jamal Eddine; Benkhettou, Nadia; Benchohra, Mouffak; Karapinar, Erdal
    In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, the nonlinear alternative of Leray-Schauder type and Krasnoselskii fixed point theorem. As applications, two examples are included to show the applicability of our results.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 6
    Extensions of Meir-Keeler Contraction Via W-Distances With an Application
    (Univ Kragujevac, Fac Science, 2022) Karapinar, Erdal; Lakzian, Hosein; Chanda, Ankush; Barootkoob, Sedigheh
    In this article, we conceive the notion of a generalized (alpha, psi, q)-Meir-Keeler contractive mapping and then we investigate a fixed point theorem involving such kind of contractions in the setting of a complete metric space via a w-distance. Our obtained result extends and generalizes some of the previously derived fixed point theorems in the literature via w-distances. In addition, to validate the novelty of our findings, we illustrate a couple of constructive numerical examples. Moreover, as an application, we employ the achieved result to earn the existence criteria of the solution of a kind of non-linear Fredholm integral equation.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 8
    Pata Type Contractions Involving Rational Expressions With an Application To Integral Equations
    (Amer inst Mathematical Sciences-aims, 2021) Atangana, Abdon; Fulga, Andreea; Karapinar, Erdal
    In this paper, we introduce the notion of rational Pata type contraction in the complete metric space. After discussing the existence and uniqueness of a fixed point for such contraction, we consider a solution for integral equations.