Matematik Bölümü Yayın Koleksiyonu

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

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Publisher: search.filters.publisher.ElsevierSubject: search.filters.subject.Fixed Point

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 10
    Citation - Scopus: 11
    Chaotic Attractors and Fixed Point Methods in Piecewise Fractional Derivatives and Multi-Term Fractional Delay Differential Equations
    (Elsevier, 2023) Jarad, Fahd; Panda, Sumati Kumari; Abdeljawad, Thabet
    Using generalized cyclic contractions, we establish some fixed point results in controlled rectangular metric spaces. Some subsequent outcomes are obtained. Moreover, some necessary conditions to demonstrate the existence of solutions for the multi-term fractional delay differential equations with wth order and the piecewise equations under the setting of non-singular type derivative are established in this paper. In order to demonstrate the effectiveness of our results, we provided some numerical examples.
  • Article
    Citation - WoS: 52
    Citation - Scopus: 63
    A Numerical Schemes and Comparisons for Fixed Point Results With Applications To the Solutions of Volterra Integral Equations in Dislocated Extended B - Metric Space
    (Elsevier, 2020) Karapinar, Erdal; Atangana, Abdon; Panda, Sumati Kumari
    In this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the technique of fixed point in the setting of dislocated extended b-metric space. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
  • Article
    Citation - WoS: 16
    Citation - Scopus: 17
    Fixed Point Theory for Generalized Contractions in Cone Metric Spaces
    (Elsevier, 2012) Amini-Harandi, A.; Baleanu, D.; Farajzadeh, A. P.; Turkoglu, Duran; Abuloha, Muhib; Abdeljawad, Thabet
    In this paper, we prove some fixed point theorems for generalized contractions in cone metric spaces. Our theorems extend some results of Suzuki (2008) [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc Amer Math Soc 136(5) (2008), 1861-1869] and Kikkawa and Suzuki (2008) [M. Kikkawa and T. Suzuki, Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal 69(9) (2008), 2942-2949]. (C) 2011 Elsevier B.V. All rights reserved.