Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Access Right: Open AccessAuthor: search.filters.author.Karapinar, Erdal

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Now showing 1 - 10 of 72
  • Editorial
    Citation - WoS: 5
    Citation - Scopus: 5
    Preface To the Special Issue "a Themed Issue on Mathematical Inequalities, Analytic Combinatorics and Related Topics in Honor of Professor Feng Qi
    (Mdpi, 2023) Du, Wei-Shih; Agarwal, Ravi Prakash; Karapinar, Erdal; Kostic, Marko; Cao, Jian
  • Article
    Citation - WoS: 4
    Citation - Scopus: 6
    Existence and Ulam-Hyers Stability of Mild Solutions for Impulsive Integro-Differential Systems Via Resolvent Operators
    (Amer inst Mathematical Sciences-aims, 2025) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Bensalem, Abdelhamid
    The aim of this paper is to present existence, Ulam-Hyers-Rassias stability and continuous dependence on initial conditions for the mild solution of impulsive integro-differential systems via resolvent operators. Our analysis is based on fixed point theorem with generalized measures of noncompactness, this approach is combined with the technique that uses convergence to zero matrices in generalized Banach spaces. An example is presented to illustrate the efficiency of the result obtained.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 20
    Discussions on Proinov-Cb Mapping on B-Metric Space
    (Wiley, 2023) Fulga, Andreea; Karapinar, Erdal
    In the present paper, we introduce the notion of Proinov-C-b-contraction mapping and we discuss it within the most interesting abstract structure, namely, b-metric spaces. We further take into consideration the necessary conditions to guarantee the existence and uniqueness of fixed points for such mappings, as well as indicate the validity of the main results by providing illustrative examples.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 6
    An Inevitable Note on Bipolar Metric Spaces
    (Amer inst Mathematical Sciences-aims, 2024) Cvetkovic, Marija; Karapinar, Erdal
    Bipolar metric spaces and related fixed point theorems therein were introduced based on the motivation of measuring the distance between the elements of distinct sets. The question regarding the independence of these results from the analogous results on a fixed point of an induced mapping on a Cartesian product of two sets. We proved that bipolar metric space is metrizable and we presented two different approaches for defining a metric induced by a bipolar metric. Two obtained metric spaces demonstrated the lack of novelty of fixed point theorems for covariant and contravariant contraction.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 11
    Revisiting ′ciric′ Type Nonunique Fixed Point Theorems Via Interpolation
    (Univ Politecnica Valencia, Editorial Upv, 2021) Karapinar, Erdal
    In this paper, we aim to revisit some non-unique fixed point theorems that were initiated by ' Ciric ', first. We consider also some natural consequences of the obtained results. In addition, we provide a simple example to illustrate the validity of the main result.
  • Article
    Sequences of Nonlinear Quasi Contractions and Fixed Points
    (Univ Nis, Fac Sci Math, 2022) Chi, Kieu Phuong; Karapinar, Erdal; Thanh, Tran Duc
    In this paper, we state some results on the relationship between the convergence of the nonlinear quasi-contractions and the convergence of their fixed point. The observed results certainly extend some existing results on the topic in the literature, including the results of Nadler and Park. We also furnish an illustrative example to demonstrate the validity of the results expressed.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 11
    On Interpolative Hardy-Rogers Type Multivalued Contractions Via a Simulation Function
    (Univ Nis, Fac Sci Math, 2022) Ali, Ahsan; Hussain, Azhar; Aydi, Hassen; Karapinar, Erdal
    In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide some examples. We also prove data dependence of the fixed point sets. Moreover, we present strict fixed point set, well-posedness and homotopy results.
  • 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: 12
    Citation - Scopus: 16
    Super Metric Spaces
    (Univ Nis, Fac Sci Math, 2022) Karapinar, Erdal; Khojasteh, Farshid
    The aim of this paper is to propose a new generalization of metric space which may open a new framework. As an application, we consider the analog of Banach contraction mapping principle that works properly.
  • Article
    Citation - WoS: 24
    Citation - Scopus: 41
    Fractional Partial Random Differential Equations With Infinite Delay
    (Elsevier, 2022) Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal; Heris, Amel
    The present paper deals with some existence results for the Darbou x problem of partial fractional random differential equations with infinite delay. The arguments are based on a random fixed point theorem with stochastic domain combined with the measure of noncompactness.