Superstability of \(m\)-additive maps on complete non-Archimedean spaces (Q2793872)
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scientific article; zbMATH DE number 6557632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Superstability of \(m\)-additive maps on complete non-Archimedean spaces |
scientific article; zbMATH DE number 6557632 |
Statements
17 March 2016
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superstability
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complete non-Archimedean spaces
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\(m\)-additive functional equation
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fixed point method
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Superstability of \(m\)-additive maps on complete non-Archimedean spaces (English)
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Suppose that \(A\) and \(B\) are two complete non-Archimedean spaces. A map \(f:A \to B\) is called \(m\)-additive if \(\triangle_mf(x,y)=0\), where \(\triangle_mf(x,y)=mf\left(\frac{x+y}{m}\right)-f(x)-f(y)\) for each \(x, y\in A\). In this paper, the author investigates the superstability of \(m\)-additive maps on complete non-Archimedean spaces by a fixed point method.
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