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Functional equations in matrix normed spaces - MaRDI portal

Functional equations in matrix normed spaces (Q746362)

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scientific article; zbMATH DE number 6495113
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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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