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Author: O'Regan, DonalScopus Q: Q2

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Now showing 1 - 3 of 3
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    Article
    Citation - WoS: 10
    Citation - Scopus: 15
    Fixed Points of Generalized Contractive Mappings of Integral Type
    (Springer international Publishing Ag, 2014) Alsulami, Hamed H.; Karapinar, Erdal; O'Regan, Donal; Shahi, Priya
    The aim of this paper is to introduce classes of alpha-admissible generalized contractive type mappings of integral type and to discuss the existence of fixed points for these mappings in complete metric spaces. Our results improve and generalize fixed point results in the literature.
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    Article
    Citation - WoS: 12
    Citation - Scopus: 18
    On the existence of fixed points that belong to the zero set of a certain function
    (Springer international Publishing Ag, 2015) Karapinar, Erdal; O'Regan, Donal; Samet, Bessem
    Let T : X -> X be a given operator and F-T be the set of its fixed points. For a certain function phi : X -> [0,infinity), we say that F-T is phi-admissible if F-T is nonempty and F-T subset of Z(phi), where Z(phi) is the zero set of phi. In this paper, we study the phi-admissibility of a new class of operators. As applications, we establish a new homotopy result and we obtain a partial metric version of the Boyd-Wong fixed point theorem.
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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.