Hyers-Ulam-Rassias Stability of Functional Equations in Multi Banach Spaces

Abstract

In this paper, we study the generalized Hyers-Ulam-Rassias stability of the additive functional equations f (x + y + z + a) = f (x) + f (y) + f (z) for the mapping f from a linear space into a multi-Banach space. Furthermore, we also establish the asymptotic behavior of the above additive functional equations.