ar X iv : 0 81 2 . 50 22 v 1 [ m at h . FA ] 3 0 D ec 2 00 8 The stability of a quadratic type functional equation with the fixed point alternative
نویسندگان
چکیده
In this paper, we achieve the general solution and the generalized Hyers-UlamRassias stability for the quadratic type functional equation f(x+ y + 2cz) + f(x+ y − 2cz) + cf(2x) + cf(2y) = 2[f(x+ y) + cf(x+ z) + cf(x− z) + cf(y + z) + cf(y − z)] for fixed integers c with c 6= 0,±1, by using the fixed point alternative.
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