THE GENERALIZED HYERS-ULAM STABILITY OF SEXTIC FUNCTIONAL EQUATION IN VARIOUS MATRIX SPACES

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.

کلیدواژه ها:

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