Orthogonal stability of an additive-quadratic functional equation in non-Archimedean spaces (Q2928950)
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scientific article; zbMATH DE number 6367815
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal stability of an additive-quadratic functional equation in non-Archimedean spaces |
scientific article; zbMATH DE number 6367815 |
Statements
10 November 2014
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Hyers-Ulam stability
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fixed point
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orthogonally additive-quadratic functional equation
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non-Archimedean normed space
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orthogonality space
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Orthogonal stability of an additive-quadratic functional equation in non-Archimedean spaces (English)
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The authors investigate the Hyers-Ulam stability of the following orthogonally additive-quadratic functional equation: NEWLINE\[NEWLINE 2f\left(\frac{x+y}{2}\right)+2f\left(\frac{x-y}{2}\right)=\frac{3f(x)}{2}-\frac{f(-x)}{2}+\frac{f(y)}{2}+\frac{f(-y)}{2}, NEWLINE\]NEWLINE where \(f\) is defined on a non-Archimedean normed space with real values.
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