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Author: Alqahtani, BadrSubject: Fixed point

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Now showing 1 - 3 of 3
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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: 1
    Citation - Scopus: 1
    Discussion on the Fixed Point Problems With Constraint Inequalities
    (Springeropen, 2018) Alqahtani, Badr; Lashkaripour, Rahmatollah; Karapinar, Erdal; Hamzehnejadi, Javad
    In this paper, we introduce the concept of comparable complete metric spaces and consider some fixed point theorems for mappings in the setting of incomplete metric spaces. We obtain the results of Ansari et al. [J. Fixed Point Theory Appl. 20:26, 2018] with weaker conditions. Moreover, we provide some corollaries and examples show that our main result is a generalization of existing results in the literature.
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    Article
    Citation - WoS: 34
    Citation - Scopus: 52
    Common Fixed Point Results on an Extended B-Metric Space
    (Springeropen, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
    In this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems in the literature. We state some examples to illustrate our results.