Fuzzy stability of quadratic-cubic functional equations (Q644650)
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scientific article; zbMATH DE number 5968235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy stability of quadratic-cubic functional equations |
scientific article; zbMATH DE number 5968235 |
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Fuzzy stability of quadratic-cubic functional equations (English)
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4 November 2011
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The authors consider the functional equation, derived from cubic and quadratic functions: \[ 6f(x+y)-6f(x-y)+4f(3y)=3f(x+2y)-3f(x-2y)+9f(2y), \] and apply the direct method and the fixed point alternative method to obtain the Hyers-Ulam-Rassias stability for that equation in fuzzy Banach spaces.
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quadratic-cubic functional equation
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Hyers-Ulam-Rassias stability
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fuzzy normed space
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direct method
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fixed point alternative method
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