A fixed point approach to the stability of a general mixed additive-cubic equation on banach modules

Using a fixed-point method, we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation: f(kx+y) + f(kx-y) = kf(x+y) + kf(x-y) + 2f(kx) − 2kf(x) in Banach modules over a unital Banach algebra.