Stability for mixed type of additive and quadratic functional equation in random normed spaces via fixed point method (Q2894074)
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scientific article; zbMATH DE number 6050856
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability for mixed type of additive and quadratic functional equation in random normed spaces via fixed point method |
scientific article; zbMATH DE number 6050856 |
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27 June 2012
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random normed space
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fixed point method
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generalized Hyers-Ulam stability
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quadratic-additive functional equation
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Stability for mixed type of additive and quadratic functional equation in random normed spaces via fixed point method (English)
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Using the fixed point method, the authors prove the stability of the functional equation NEWLINE\[NEWLINEf(x + y) - f(-x- y) - f(x) + f(-x) - 4f(y) + f(2y) = 0NEWLINE\]NEWLINE in random normed spaces. They also investigate the generalized Hyers-Ulam stability of the above quadratic-additive functional equation in the framework of normed spaces.
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