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Fixed point and Hyers-Ulam stability of functional equations - MaRDI portal

Fixed point and Hyers-Ulam stability of functional equations (Q2901506)

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scientific article; zbMATH DE number 6058724
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Fixed point and Hyers-Ulam stability of functional equations
scientific article; zbMATH DE number 6058724

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    20 July 2012
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    functional equations
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    non-Archimedean normed spaces
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    fixed point method
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    generalized Hyers-Ulam stability
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    Fixed point and Hyers-Ulam stability of functional equations (English)
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    Using the fixed point method, the authors prove the generalized Hyers-Ulam stability of the following functional equation NEWLINE\[NEWLINEf(3x\pm y)= f (x\pm y)+ 16f(x)NEWLINE\]NEWLINE in non-Archimedean normed spaces. It is an interesting contribution in a basic functional equation.
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