Orthogonal stability of a generalized quadratic functional equation in non-Archimedean spaces (Q2912522)
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scientific article; zbMATH DE number 6082801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal stability of a generalized quadratic functional equation in non-Archimedean spaces |
scientific article; zbMATH DE number 6082801 |
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14 September 2012
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stability of functional equations
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quadratic functional equation
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non-Archimedean space
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orthogonality space
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0.9700219
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0.9700219
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0.95230293
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0.9505718
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0.9446841
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Orthogonal stability of a generalized quadratic functional equation in non-Archimedean spaces (English)
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Let \((X,\bot)\) be an orthogonality space (in sense of Rätz) and \(Y\) a non-Archimedean Banach space. For \(f: X\to Y\) an orthogonally generalized quadratic functional equation is introduced and its stability is proved. The proof is based on the fixed point theorem due to Diaz and Margolis.
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