Stability of Generalized Cubic Functional Equation in Matrix Normed Spaces

Abstract

In this current work, we consider the following generalized cubic functional equation f (x + ty) + f (x − ty) = 2 2cos tπ 2 + t 2 − 1 f (x) − 1 2 cos tπ 2 + t 2 − 1 f (2x) + t 2 [f (x + y) + f (x − y)] where t is an integer and t ≥ 2. We prove the Hyers-Ulam stability of this cubic functional equation in matrix normed spaces by using the fixed point method.