Scopus İndeksli Yayınlar Koleksiyonu

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

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Subject: search.filters.subject.Fixed PointWoS Q: search.filters.wosQuartile.Q2

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Now showing 1 - 10 of 17
  • 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 - Scopus: 1
    Remarks On Some Generalizations Of θ-Contraction
    (Univ Politehnica Bucharest, Sci Bull, 2023) Karapınar, Erdal; Cvetkovic, Marija
    The concept of θ-contraction was modified and generalized in several ways during the last decade. Some assumptions concerning the class Θ are shown to be super-fluous in order to obtain a unique fixed point for a θ-type contraction, θ-Suzuki type and, consequently, θ-contraction. Improvement of several previously published results are de-rived with a modified contractive condition and we have presented an example of possible application. The same approach was used for the F-Suzuki contraction and numerous generalizations are made.
  • Article
    Citation - WoS: 22
    Citation - Scopus: 30
    Global Stability Results for Volterra-Hadamard Random Partial Fractional Integral Equations
    (Springer-verlag Italia Srl, 2023) Abbas, Said; Benchohra, Mouffak; Karapinar, Erdal; Salim, Abdelkrim
    This paper investigates the existence and stability of random solutions of a class of Hadamard fractional order functional partial integral equations with random effects in Banach spaces.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 5
    Fractional Differential Equations With Maxima on Time Scale Via Picard Operators
    (Univ Nis, Fac Sci Math, 2023) Benkhettou, Nadia; Lazreg, Jamal Eddine; Benchohra, Mouffak; Karapinar, Erdal
    In this paper, we prove a result of existence and uniqueness of solutions for the following class of problem of initial value for differential equations with maxima and Caputo's fractional order on the time scales:c increment omega a u(& thetasym;) = zeta(& thetasym;, u(& thetasym;), max sigma E[a,& thetasym;] u(sigma)), & thetasym; E J : = [a,b]T, 0 < omega <1,u(a) = phi,We used the techniques of the Picard and weakly Picard operators to obtain some data dependency on the parameters results.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 14
    Study of Γ-Simulation Functions, Zγ-Contractions and Revisiting the L-Contractions
    (Univ Nis, Fac Sci Math, 2021) Joonaghany, Gh Heidary; Khojasteh, E.; Radenovic, S.; Karapinar, E.; Khojasteh, F.; Heidary Joonaghany, Gh.
    In this paper, we introduce the notions of Z(Gamma)-contractions and Suzuki Z(Gamma)-contractions via Gamma-simulation functions. By using these new contractions, we extend and unify several existing fixed point results in the corresponding literature. We also show that the recently defined notion of L-simulation function is an special case of Z(Gamma)-contraction. In addition, some notable examples are given to illustrate and support the obtained results.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    Revisiting the Meir-Keeler Contraction Via Simulation Function
    (Univ Nis, Fac Sci Math, 2020) Fulga, Andreea; Kumam, Poom; Karapinar, Erdal
    In this paper, we aim to obtain a fixed point theorem which guarantee the existence of a fixed point for both the continuous and discontinuous mappings that fullfill certain conditions in the context of metric space. We also consider some examples to illustrate our results.
  • Article
    Citation - WoS: 11
    Citation - Scopus: 15
    On Contractions Via Simulation Functions On Extended B-Metric Spaces
    (Univ Miskolc inst Math, 2020) Karapinar, Erdal; Chifu, Cristian
    In this paper, we introduce the notion of an admissible extended Z-contraction mapping in the setting of extended b-metric spaces. As an application, we consider Ulam stability problems based on our contractions. The presented results cover several existing results in the literature.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 4
    New Results on Start-Points for Multi-Valued Maps
    (Mdpi, 2020) Karapinar, Erdal; Petrusel, Adrian; Radenovic, Stojan; Gaba, Yae Ulrich
    In this manuscript we investigate the existence of start-points for the generalized weakly contractive multi-valued mappings in the setting of left K-complete quasi-pseudo metric space. We provide an example to support the given result.
  • Article
    Citation - WoS: 61
    Citation - Scopus: 83
    Impulsive Caputo-Fabrizio Fractional Differential Equations in B-Metric Spaces
    (de Gruyter Poland Sp Z O O, 2021) Abbas, Said; Benchohra, Mouffak; Karapinar, Erdal; Lazreg, Jamal Eddine; Karaplnar, Erdal
    We deal with some impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces. We make use of alpha-phi-Geraghty-type contraction. An illustrative example is the subject of the last section.
  • Article
    Edelstein-Type Fixed Point Theorems in Compact Tvs-Cone Metric Spaces
    (Hacettepe University, 2014) Abdeljawad, Thabet
    In this paper we prove two fixed point theorems in compact cone metricspaces over normal cones. The first theorem generalizes Edelstein theorem [8] and is different from the generalization obtained in [11]. Thesecond theorem generalizes the main result in [10] and the first theorem.However, the two theorems fail in different categories. Moreover, different versions of the two theorems are proved in TVS-cone metric spacesby making use of the nonlinear scalarization function used very recentlyby Wei-Shih Du in [A note on cone metric fixed point theory and itsequivalence, Nonlinear Analysis,72(5),2259-2261 (2010).] to prove theequivalence of the Banach contraction principle in cone metric spacesand usual metric spaces.