In this paper, we will consider Hyers-Ulam-Rassias stability of multipliers and ring derivations between Banach algebras. As a corollary, we will prove superstability of ring derivations and multipliers. That is, approximate multipliers and approximate ring derivations are exact multipliers and ring derivations.
Banach J. Math. Anal.
1(1):
125-130
(2007).
DOI: 10.15352/bjma/1240321562