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Author: Alqahtani, BadrSubject: metric space

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Now showing 1 - 3 of 3
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    Article
    Citation - WoS: 3
    On Ciric Type φ-Geraghty Contractions
    (Chiang Mai Univ, Fac Science, 2019) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
    In this paper we introduce the notions of phi-Geraghty contractions and Ciric type phi-Geraghty contractions. We also investigate under which conditions such mappings posses a unique fixed point in the framework of complete metric spaces. We consider examples to show the validity of our main results.
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    Article
    Citation - WoS: 21
    Citation - Scopus: 23
    On (α, Ψ)-k-contractions in the Extended b-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.
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    Article
    Citation - WoS: 34
    Citation - Scopus: 46
    Fixed Point Results on -Symmetric Quasi-Metric Space Via Simulation Function With an Application To Ulam Stability
    (Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
    In this paper, in the setting of D - symmetric quasi- metric spaces, the existence and uniqueness of a fixed point of certain operators are scrutinized carefully by using simulation functions. The most interesting side of such operators is that they do not form a contraction. As an application, in the same framework, the Ulam stability of such operators is investigated. We also propose some examples to illustrate our results.