Matematik Bölümü Yayın Koleksiyonu

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

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Author: search.filters.author.Karapinar, ErdalWoS Q: search.filters.wosQuartile.Q1

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Now showing 1 - 10 of 60
  • Article
    Citation - WoS: 146
    Citation - Scopus: 166
    On the Solutions of Fractional Differential Equations Via Geraghty Type Hybrid Contractions
    (Ministry Communications & High Technologies Republic Azerbaijan, 2021) Adiguzel, Rezan Sevinik; Karapınar, Erdal; Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Matematik
    The aim of this article is twofold. Firstly, to study fixed points of mappings on b metric spaces satisfying a general contractive condition called Geraghty type hybrid contraction. Secondly, to apply the theoretical results to the problem of existence and uniqueness of solutions of boundary value problems with integral boundary conditions associated with a certain type of nonlinear fractional differential equations. The conditions for the existence of fixed points for Geraghty type hybrid contractions are determined and several consequences of the main results are deduced. Some examples on boundary value problems for nonlinear fractional differential equations of order 3 < alpha <= 4 are provided, where the existence and uniqueness of solutions are shown by using Geraghty type contractions.
  • Article
    Citation - WoS: 19
    Citation - Scopus: 18
    Best Proximity Point Theorems for Kt-Types Cyclic Orbital Contraction Mappings
    (House Book Science-casa Cartii Stiinta, 2012) Karapınar, Erdal; Karapinar, Erdal; Petrusel, Gabriela; Taş, Kenan; Tas, Kenan; Matematik
    In this manuscript, three new KT-types cyclic orbital contractions are defined and some related best proximity point theorems are given. Also, the notion of KT-type cyclic orbital Meir-Keeler contraction is defined and some fixed point theorems for this class of mappings are proved. The results of this manuscript generalize some theorems, on the same subject, of several authors, such as Kirk-Srinavasan-Veeramani, Eldered-Veeramani and Karpagam-Agrawal.
  • Conference Object
    Citation - WoS: 13
    Citation - Scopus: 12
    On Admissible Hybrid Geraghty Contractions
    (North Univ Baia Mare, 2020) Karapinar, Erdal; Karapınar, Erdal; Petrusel, Adrian; Petrusel, Gabriela; Matematik
    In this manuscript, we introduce the notion of admissible hybrid Geraghty contraction and we investigate the existence of fixed points of such mappings in the setting of complete metric spaces. Our results not only extend and generalize several results in the fixed point theory literature, but also unify most of them. We give some corollaries to illustrate the novelty of the main result.
  • Article
    Citation - WoS: 15
    Fixed Point on Convex B-Metric Space Via Admissible Mappings
    (inst Applied Mathematics, 2021) Karapinar, Erdal; Karapınar, Erdal; Fulga, Andreea; Matematik
    In this manuscript, we define a convex admissible mapping. Using this notion, we consider specific contraction involving rational terms via convex admissible mapping. We investigate the necessary and sufficient requirement to guarantee a fixed point in the framework of convex b-metric spaces.
  • Article
    Citation - WoS: 35
    On Interpolative Boyd-Wong and Matkowski Type Contractions
    (inst Applied Mathematics, 2020) Karapinar, Erdal; Karapınar, Erdal; Aydi, Hassen; Mitrovic, Zoran D.; Matematik
    By using an interpolation approach, we recognize Boyd-Wong and Matkowski type contractions and we prove the related fixed point theorems in the class of metric spaces. The obtained results are supported by some examples. We also give the partial metric case according to our results.
  • 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: 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.
  • Article
    Citation - WoS: 10
    Citation - Scopus: 10
    Fixed-Point Results for Meir-Keeler Type Contractions in Partial Metric Spaces: a Survey
    (Mdpi, 2022) Agarwal, Ravi P.; Yesilkaya, Seher Sultan; Wang, Chao; Karapinar, Erdal
    In this paper, we aim to review Meir-Keeler contraction mappings results on various abstract spaces, in particular, on partial metric spaces, dislocated (metric-like) spaces, and M-metric spaces. We collect all significant results in this direction by involving interesting examples. One of the main reasons for this work is to help young researchers by giving a framework for Meir Keeler's contraction.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 4
    Fixed Point Theorems for Mappings With a Contractive Iterate at a Point in Modular Metric Spaces
    (House Book Science-casa Cartii Stiinta, 2022) Karapinar, Erdal; Aksoy, Umit; Fulga, Andreea; Erhan, Inci M.
    In this manuscript, we introduce two new types of contraction, namely, w-contraction and strong Sehgal w-contraction, in the framework of modular metric spaces. We indicate that under certain assumptions, such mappings possess a unique fixed point. For the sake of completeness, we consider examples and an application to matrix equations.