A conditional dilatation equation (Q1198190)
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scientific article; zbMATH DE number 92518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A conditional dilatation equation |
scientific article; zbMATH DE number 92518 |
Statements
A conditional dilatation equation (English)
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16 January 1993
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Let \(k\) be a positive constant and let \(X\) be a real normed space of dimension \(\geq 3\). Functions \(f:X\to X\) and \(g:X\times X\to R\) for which \(\| x-y\|=k\Rightarrow f(x)-f(y)=g(x,y)(x-y)\) are found.
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conditional functional equation
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conditional dilatation equation
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normed space
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