Stability of a quintic functional equation in matrix paranormed spaces

The main goal of this paper is to prove the Hyers-Ulam stability of the quintic functional equation f(3x + y) -5f(2x + y) + f(2x -y) + 10f(x + y) -5f(x -y)=10f(y) + f(3x)-3f(2x) -27f(x) in matrix paranormed spaces. In addition, we establish results concerning the Hyers-Ulam stability of the above functional equation in matrix Banach spaces, and then apply these results to prove the Hyers-Ulam stability of this functional equation in L∞-normed Banach spaces