Stability of multi-additive mappings in non-Archimedean normed spaces (Q711000)
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scientific article; zbMATH DE number 5804512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of multi-additive mappings in non-Archimedean normed spaces |
scientific article; zbMATH DE number 5804512 |
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Stability of multi-additive mappings in non-Archimedean normed spaces (English)
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25 October 2010
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Let \(V\) be a commutative semigroup, \(W\) a non-Archimedean space and \(n \geq 1\) an integer. A function \(f : V^n \to W\) is said to be multi-additive if it is additive in each variable. In this paper, the author proves some results concerning the generalized Hyers-Ulam stability of the multi-additive functions in non-Archimedean spaces, using the direct method.
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multi-additive mapping
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non-Archimedean space
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commutative semigroup
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Hyers-Ulam stability
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direct method
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