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**A fixed point approach to the stability of the Cauchy additive and quadratic type functional equation.**
*(English)*
Zbl 1303.39017

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 L. Cădariu and V. Radu [Grazer Math. Ber. 346, 43–52 (2004; Zbl 1060.39028)]

### MSC:

39B82 | Stability, separation, extension, and related topics for functional equations |

39B52 | Functional equations for functions with more general domains and/or ranges |

### Citations:

Zbl 1060.39028
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\textit{S. S. Jin} and \textit{Y.-H. Lee}, J. Appl. Math. 2011, Article ID 817079, 16 p. (2011; Zbl 1303.39017)

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### References:

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