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In this concept, we investigate the generalized Ulam-Hyers-Rassias stability for the new type of cubic functional equation of the form g (ax 1 + bx 2 + 2cx 3) + g (ax 1 + bx 2 − 2cx 3) + 8 a 3 g(x 1) + 8 b 3 g(x 2) =2g(ax 1 + bx 2) + 4 (g(ax 1 + cx 3) + g(ax 1 − cx 3) + g(bx 2 + cx 3) + g(bx 2 − cx 3)) by using direct and fixed point alternative.

In this paper, the authors obtain the general solution in vector space and generalized Ulam-Hyers stability of mixed type additive quadratic functional equationin random normed space.