Abstract :
Abstract. A mapping f : V n _ W, where V is a commutative semi-
group, W is a linear space and n is a positive integer, is called multi-
additive if it is additive in each variable. In this paper we prove the
Hyers-Ulam stability of multi-additive mappings in 2-Banach spaces. The
corollaries from our main results correct some outcomes from [W.-G. Park,
Approximate additive mappings in 2-Banach spaces and related topics,
J. Math. Anal. Appl. 376 (2011) 193{202].
