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COAR Access Rights: open accessSubject: F-contraction

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Now showing 1 - 3 of 3
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    Article
    Citation - WoS: 89
    Citation - Scopus: 98
    Modified f-contractions Via α-admissible Mappings and Application To Integral Equations
    (Univ Nis, Fac Sci Math, 2017) Aydi, Hassen; Karapinar, Erdal; Yazidi, Habib
    In this paper, we introduce the concept of a modified F-contraction via alpha-admissible mappings and propose some theorems that guarantee the existence and uniqueness of fixed point for such mappings in the frame of complete metric spaces. We also provide some illustrative examples. Moreover, we consider an application solving an integral equation.
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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.