Fuzzy stability of an AQCQ-functional equation in matrix fuzzy normed spaces (Q2829387)
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scientific article; zbMATH DE number 6644992
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy stability of an AQCQ-functional equation in matrix fuzzy normed spaces |
scientific article; zbMATH DE number 6644992 |
Statements
27 October 2016
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Hyers-Ulam stability
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additive-quadratic-cubic-quartic functional equation
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operator space
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fixed point
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fuzzy normed space
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Fuzzy stability of an AQCQ-functional equation in matrix fuzzy normed spaces (English)
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Let \((X,{N_n})\) be a matrix fuzzy normed space, \((Y,{N_n})\) a matrix fuzzy Banach space and \(f:X\to Y\). By using the fixed point method, the authors prove the Hyers-Ulam stability of the additive-quadratic-cubic-quartic functional equation \[f(x+2y)+f(x-2y)=4f(x+y)+4f(x-y)-6f(x)+f(2y)+f(-2y)-4f(y)-4f(-y).\]
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