Abstract
Abstract In this paper, the authors introduce and investigate the general solution and generalized Hyers-Ulam stability of n-dimensional non-quadratic functional equation of the form f ∑ i = 1 n x i = ∑ 1 ⩽ i j k ⩽ n n f x i + x j + x k + ( 3 - n ) ∑ i = 1 ; i ≠ j n f x i + x j + ∑ j = 1 n f 2 x j + n 2 - 5 n - 10 2 ∑ i = 1 n f x i Where n is positive integer with n ⩾ 4 in fuzzy normed space using direct method.
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