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Permanent URI for this collectionhttps://hdl.handle.net/20.500.14411/18

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Publisher: search.filters.publisher.Univ Nis, Fac Sci Math

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Now showing 1 - 10 of 21
  • Article
    Citation - WoS: 6
    Citation - Scopus: 7
    Mild Solutions for Conformable Fractional Order Functional Evolution Equations Via Meir-Keeler Type Fixed Point Theorem
    (Univ Nis, Fac Sci Math, 2025) Berrighi, Fatma; Medjadj, Imene; Karapinar, Erdal
    In this study, we delve into the realm of mild solutions for conformable fractional order functional evolution equations, focusing on cases where the fractional order is strictly greater than 1 and less than 2 within a separable Banach space. We demonstrate the existence, uniqueness, attractivity, and controllability of these solutions under local conditions. Our approach involves leveraging a contribution of Meir-Keeler's fixed point theorem alongside the principle of measures of noncompactness. To demonstrate the practical ramifications of our theoretical finds, we provide a specific example that underscores the relevance and applications of the established results.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 12
    On Interpolative Metric Spaces
    (Univ Nis, Fac Sci Math, 2024) Karapinar, Erdal
    The purpose of this article is to expand the "open discussion" on the definition and necessity of the interpolation metric space and keep it on the agenda of researchers in nonlinear functional analysis. The secondary aim of this article is to indicate that the outcomes of this "open discussion" have the potential to stop the recent recession in the metric fixed point theory.
  • Article
    Stieltjes Classes for Discrete Distributions of Logarithmic Type
    (Univ Nis, Fac Sci Math, 2020) Ostrovska, Sofiya; Turan, Mehmet
    Stieltjes classes play a significant role in the moment problem since they permit to expose explicitly an infinite family of probability distributions all having equal moments of all orders. Mostly, the Stieltjes classes have been considered for absolutely continuous distributions. In this work, they have been considered for discrete distributions. New results on their existence in the discrete case are presented.
  • Article
    Citation - WoS: 21
    Citation - Scopus: 23
    On (α, Ψ)-<i>k</I>-contractions in the Extended <i>b</I>-metric Space
    (Univ Nis, Fac Sci Math, 2018) Alqahtani, Badr; Karapinar, Erdal; Ozturk, Ali
    In this paper, we introduce a notion of (alpha, psi)-K-contraction in the setting of extended b-metric spaces and investigate the existence of a fixed point. The presented results generalize and unify a number of well-known fixed point theorem mainly in two distinct aspects; in the sense of the contraction conditions and in the frame of abstract spaces.
  • Article
    Citation - WoS: 28
    Citation - Scopus: 31
    Meir-Keeler Type Contractions on Modular Metric Spaces
    (Univ Nis, Fac Sci Math, 2018) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Rakocevic, Vladimir
    In this paper we introduce contraction mappings of Meir-Keeler types on modular metric spaces and investigate the existence and uniqueness of their fixed points. We give an example which demonstrates our theoretical results.
  • Article
    Citation - WoS: 25
    Citation - Scopus: 33
    Fixed Point Theorems in Complete Modular Metric Spaces and an Application To Anti-Periodic Boundary Value Problems
    (Univ Nis, Fac Sci Math, 2017) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.
    In this paper existence and uniqueness of fixed points for a general class of contractive and nonexpansive mappings on modular metric spaces is discussed. As an application of the theoretical results, the existence of a solution of anti-periodic boundary value problems for nonlinear first order differential equations of Caratheodory's type is considered in the framework of modular metric spaces.
  • Article
    Citation - WoS: 20
    Citation - Scopus: 27
    Generalized Α -Meir Contraction Mappings on Branciari B-Metric Spaces
    (Univ Nis, Fac Sci Math, 2017) Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.
    In this paper, alpha-Meir-Keeler and generalized alpha-Meir-Keeler contractions on Branciari b-metric spaces are introduced. Existence and uniqueness of fixed points of such contractions are discussed and related theorems are proved. Various consequences of the main results are also presented.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 11
    A Solution To Nonlinear Volterra Integro-Dynamic Equations Via Fixed Point Theory
    (Univ Nis, Fac Sci Math, 2019) Sevinik-Adiguzel, Rezan; Karapinar, Erdal; Erhan, Inci M.
    In this paper we discuss the existence and uniqueness of solutions of a certain type of nonlinear Volterra integro-dynamic equations on time scales. We investigate the problem in the setting of a complete b-metric space and apply a fixed point theorem with a contractive condition involving b-comparison function. We use the theorem to show the existence of a unique solution of some particular integro-dynamic equations.
  • Article
    Citation - WoS: 1
    Citation - Scopus: 3
    Existence of Solutions for First Order Impulsive Periodic Boundary Value Problems on Time Scales
    (Univ Nis, Fac Sci Math, 2023) Georgiev, Svetlin G.; Akgol, Sibel Dogru; Kus, M. Eymen; Eymen Kuş, M.
    In this paper we study a class of first order impulsive periodic boundary value problems on time scales. We give conditions under which the considered problem has at least one and at least two solutions. The arguments are based upon recent fixed point index theory in cones of Banach spaces for a k-set contraction perturbed by an expansive operator. An example is given to illustrate the obtained result.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    A Normal Distribution on Time Scales With Application
    (Univ Nis, Fac Sci Math, 2022) Aksoy, Umit; Cuchta, Tom; Georgiev, Svetlin; Okur, Yeliz Yolcu
    We introduce a new normal distribution on time scales. Based on this generalized normal distribution, a Brownian motion is introduced and its quadratic variation is derived.