The stability of a quadratic functional equation over fuzzy normed spaces of non-Archimedean

By using the direct method, in this paper, we presented the Hyers-Ulam-Rassias stability about the following quadratic functional equation f(x - y+z/2) + f(x+z) + f(x + y-z/2) = 3/2 f (z) + 1/2 f (y) + 3 (x) in a fuzzy normed space. For some extent, the obtained results can be regarded as an extension of the existing results in the classical non-Archimedean normed spaces.