LEILA SAJEDI - Ajabshir branch, Islamic Azad University, Eastern Azarbyjan, Ajabshir, Iran
Mahnaz Imanazary Bonab - Ajabshir branch, Islamic Azad University, Eastern Azarbyjan, Ajabshir, Iran.

Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following generalized sextic functional equation Df (x, y):= f (mx+ y) +f (mx- y) +f(x+ my) +f(x- my) - (m4+ m2) [f(x+ y) +f(x- y)] - 2(m6- m4- m2+ 1) [f(x) + f(y)] in matrix fuzzy normed spaces. Furthermore, using the fixed point method, we also prove the Hyers-Ulam stability of the above functional equation in matrix random normed spaces.

Hyers-Ulam stability, fixed point method, matrix fuzzy normed space, matrix random normed spaces, sextic functional equation