Abstract
In this paper, we obtain the solution of the following new cubic type functional equation and investigate the modified Hyers-Ulam-Rassias stability of this equation by using the fixed point alternative: f (x + y + 2z) + f (x + y − 2z) + f (2x) + f (2y) + 7f (x) + 7f (−x) = 2[f (x + y) + 2f (x + z) + 2f (x− z) + 2f (y + z) + 2f (y − z)]. Mathematics subject classification (2000): 39B72, 39B52.
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