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Subject: fixed point theoremsWoS Q: Q1

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Now showing 1 - 3 of 3
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    Article
    Citation - WoS: 29
    Citation - Scopus: 30
    Boundary Value Problems for Second Order Nonlinear Differential Equations on Infinite Intervals
    (Academic Press inc Elsevier Science, 2004) Guseinov, GS; Yaslan, I
    In this paper, we consider boundary value problems for nonlinear differential equations on the semi-axis (0, infinity) and also on the whole axis (-infinity, infinity), under the assumption that the left-hand side being a second order linear differential expression belongs to the Weyl limit-circle case. The boundary value problems are considered in the Hilbert spaces L-2(0, infinity) and L-2(-infinity, infinity), and include boundary conditions at infinity. The existence and uniqueness results for solutions of the considered boundary value problems are established. (C) 2003 Elsevier Inc. All rights reserved.
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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.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 6
    A Note on A Rational Form Contractions With Discontinuities at Fixed Points
    (House Book Science-casa Cartii Stiinta, 2020) Karapinar, E.
    In this paper, we investigate one of the classical problems of the metric fixed point theory: Whether there is a contraction condition which does not force the mapping to be continuous at the fixed point. We propose a contraction conditions in rational form that has a unique fixed point but not necessarily continuous at the given fixed point.