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Scopus Q: Q2Subject: F-contraction

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Now showing 1 - 3 of 3
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    Article
    Citation - WoS: 52
    Citation - Scopus: 58
    F-Contraction Mappings on Metric-Like Spaces in Connection With Integral Equations on Time Scales
    (Springer-verlag Italia Srl, 2020) Agarwal, Ravi P.; Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.
    In this paper we investigate the existence and uniqueness of fixed points of certain (phi,F)-type contractions in the frame of metric-like spaces. As an application of the theorem we consider the existence and uniqueness of solutions of nonlinear Fredholm integral equations of the second kind on time scales. We also present a particular example which demonstrates our theoretical results.
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    Article
    Citation - WoS: 21
    Citation - Scopus: 27
    Some Fixed-Point Theorems in b-Dislocated Metric Space and Applications
    (Mdpi, 2018) Kumari, Panda Sumati; Alqahtani, Obaid; Karapinar, Erdal
    In this article, we prove some fixed-point theorems in b-dislocated metric space. Thereafter, we propose a simple and efficient solution for a non-linear integral equation and non-linear fractional differential equations of Caputo type by using the technique of fixed point.
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    Article
    Citation - WoS: 29
    Citation - Scopus: 44
    Fixed Points of Conditionally f-contractions in Complete Metric-Like Spaces
    (Springer international Publishing Ag, 2015) Karapinar, Erdal; Kutbi, Marwan A.; Piri, Hossein; O'Regan, Donal
    In this paper, we introduce the notion of a conditionally F-contraction in the setting of complete metric-like spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, and improve several results in the literature.