Three - Hyers-Ulam-Rassias Stability Cubic Function Equation

In this paper, we give the general solution of cubic-cubic function equation. We also investigate generalized Hyers-Ulam-Rassias stability, fuzzy stability and other qualities by general method and fixed point in different spaces.In the first and chapter, we give a general solution of the cubic-cubic equation; in the second chapter, we use fixed point and general method to prove the Hyers-Ulam-Rassia stability of cubic-cubic equation in Banach space; in the third chapter, we mainly use general method to prove the stability of cubic-cubic equation in non-Archimedean space; in the fourth chapter, we use two methods to prove stability of cubic-cubic equation in fuzzy Banach space.