A fixed point approach to the stability of the Cauchy additive and quadratic type functional equation (Q642786)
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scientific article; zbMATH DE number 5964459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fixed point approach to the stability of the Cauchy additive and quadratic type functional equation |
scientific article; zbMATH DE number 5964459 |
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A fixed point approach to the stability of the Cauchy additive and quadratic type functional equation (English)
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27 October 2011
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Summary: We investigate the stability of the functional equation \[ 2f(x + y) + f(x - y) + f(y - x) - 3f(x) - f(-x) - 3f(y) - f(-y) = 0 \] by using the fixed point theory in the sense of \textit{L. Cădariu} and \textit{V. Radu} [Grazer Math. Ber. 346, 43--52 (2004; Zbl 1060.39028)]
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