Functional equations in matrix normed spaces (Q746362)
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scientific article; zbMATH DE number 6495113
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional equations in matrix normed spaces |
scientific article; zbMATH DE number 6495113 |
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Functional equations in matrix normed spaces (English)
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16 October 2015
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The authors use the well-known fixed point method to prove the Hyers-Ulam stability of the Cauchy functional equation \(f(x+y)=f(x)+f(y)\) and the quadratic functional equation \(f(x+y)+f(x-y)=2f(x)+2f(y)\) in the setting of matrix normed spaces.
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operator space
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fixed point
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Hyers-Ulam stability
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Cauchy additive functional equation
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quadratic functional equation
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