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

Jin, Sun Sook; Lee, Yang-Hi

J. Appl. Math. 2011, Article ID 817079, 16 p. (2011).

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

References:

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