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Author: Alqahtani, BadrPublisher: Mdpi

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Now showing 1 - 3 of 3
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    Article
    Citation - WoS: 28
    Citation - Scopus: 50
    Non-Unique Fixed Point Results in Extended b-metric Space
    (Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
    In this paper, we investigate the existence of fixed points that are not necessarily unique in the setting of extended b-metric space. We state some examples to illustrate our results.
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    Article
    Citation - WoS: 9
    Citation - Scopus: 14
    Sehgal Type Contractions on b-Metric Space
    (Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
    In this paper, we analyze two discontinuous self-mappings that satisfy Sehgal-type inequalities in the setup of complete b-metric space. The main results of the paper cover and extend a few existing results in the corresponding literature. Furthermore, we give some illustrative examples to verify the effectiveness and strength of our derived results. Thereafter, as an application, we consider the obtained result to aggregate the existence and uniqueness of the solution for nonlinear Fredholm integral equations.
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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.