Approximate $n$-dimensional additive functional equation in various Banach spaces
Abasalt Bodaghi$^1$, Mohan Arunkumar$^2$ and Elumalai Sathya$^3$
In this paper, we modify the Cauchy additive functional equation and find all solutions of this new functional equation. Then, we study generalized Ulam-Hyers stability of such functional equation in various Banach spaces via Hyers' method.
Tbilisi Mathematical Journal, Vol. 11(2) (2018), pp. 77-96