Scopus İndeksli Yayınlar Koleksiyonu

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

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Now showing 1 - 10 of 18
  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On the Quantitative Weighted Generalization of Jafari Transform
    (Univ Nis, Fac Sci Math, 2025) Yazici, Serdal; Cekim, Bayram; Jarad, Fahd; Jafari, Hossein
    In this paper, a quantitative weighted transform based on the Jafari transform is proposed, and the mathematical foundations of this new transform are investigated. In the first section, some information about Jafari transform and some mathematical tools are reviewed. In the second section, the quantitative weighted Jafari transform is introduced, its existence guaranteed through a theorem, and its fundamental properties are examined. Additionally, transforms of the fractional derivative and fractional integral of a function with respect to a function h and a w-weight are obtained. In the third section, the theoretical findings are applied to solve classical and fractional initial value problems based on a function h and w-weight. In the last section, the results are discussed.
  • 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: 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: 2
    Citation - Scopus: 2
    A Discussion on the Coincidence Quasi-Best Proximity Points
    (Univ Nis, Fac Sci Math, 2021) Abkar, Ali; Karapinar, Erdal; Fouladi, Farhad
    In this paper, we first introduce a new class of the pointwise cyclic-noncyclic proximal contraction pairs. Then we consider the coincidence quasi-best proximity point problem for this class. Finally, we study the coincidence quasi-best proximity points of weak cyclic-noncyclic Kannan contraction pairs. We consider an example to indicate the validity of the main result.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 7
    A Discussion on a Pata Type Contraction Via Iterate at a Point
    (Univ Nis, Fac Sci Math, 2020) Fulga, Andreea; Rakocevic, Vladimir; Karapinar, Erdal
    In this paper, we introduce the notion of Pata type contraction at a point in the context of a complete metric space. We observe that such contractions possesses unique fixed point without continuity assumption on the given mapping. Thus, is extended the original results of Pata. We also provide an example to illustrate its validity.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 2
    Some Results for Two Classes of Two-Point Local Fractional Proportional Boundary Value Problems
    (Univ Nis, Fac Sci Math, 2023) Jarad, Fahd; Laadjal, Zaid; Abdeljawad, Thabet
    In this paper, we consider two classes of boundary value problems in the frame of local proportional fractional derivatives. For both of these classes, we obtain the associated Green's functions and discuss their properties. Using these properties, we go about the uniqueness of the solutions. In addition, we establish Lyapunov-type and Hartman-Wintner-type inequalities and build sharp estimated for the unique solutions of the considered equations.
  • 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.