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Hyers-Ulam-Rassias stability of a cubic functional equation in RN-spaces: a fixed point method - MaRDI portal

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Hyers-Ulam-Rassias stability of a cubic functional equation in RN-spaces: a fixed point method (Q2910532)

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scientific article; zbMATH DE number 6080809
Language Label Description Also known as
English
Hyers-Ulam-Rassias stability of a cubic functional equation in RN-spaces: a fixed point method
scientific article; zbMATH DE number 6080809

    Statements

    author
    Afshin Erami
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    Habib Hoseini
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    D. Y. Shin
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    Hassan Azadi Kenary
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    publication date
    11 September 2012
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    zbMATH Keywords
    Hyers-Ulam-Rassias stability
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    random normed spaces
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    fixed point method
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    cubic functional equation
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    title
    Hyers-Ulam-Rassias stability of a cubic functional equation in RN-spaces: a fixed point method (English)
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    review text
    The authors use the usual fixed point method to prove the generalized Hyers-Ulam-Rassias stability of the cubic functional equation \(3f(x + 3y) + f(3x - y) = 15f(x + y) + 15f(x - y) + 80f(y)\) in the random normed (RN) spaces. Several similar works can be found in the literature.
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    Identifiers

    Mathematics Subject Classification ID
    39B82
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    39B52
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    46S50
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    zbMATH DE Number
    6080809
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