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 |