The stability of a quadratic type functional equation with the fixed point alternative

Details The stability of a quadratic type functional equation with the fixed point alternative The stability of a quadratic type functional equation with the fixed point alternative

2008-12-30

arxiv.org/abs/0812.5022v1

Mathematics

Functional Analysis

Scientific paper

In this paper, we achieve the general solution and the generalized
Hyers-Ulam-Rassias stability for the quadratic type functional equation
&f(x+y+2cz)+f(x+y-2cz)+c^2f(2x)+c^2f(2y)
&=2[f(x+y)+c^2f(x+z)+c^2f(x-z)+c^2f(y+z)+c^2f(y-z)] {2.6 cm} for fixed integers
$c$ with $c\neq0,\pm1$, by using the fixed point alternative.

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