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Nonlinear random stability via fixed-point method - MaRDI portal

Nonlinear random stability via fixed-point method (Q443129)

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scientific article; zbMATH DE number 6063511
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Nonlinear random stability via fixed-point method
scientific article; zbMATH DE number 6063511

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    Nonlinear random stability via fixed-point method (English)
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    6 August 2012
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    Summary: We prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation \[ f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + f(2y) + f(-2y) - 4f(y) - 4f(-y) \] in various complete random normed spaces.
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