%0 Journal Article %T Approximate multi-additive mappings in 2-Banach spaces %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Cieplinski, K. %D 2015 %\ 06/01/2015 %V 41 %N 3 %P 785-792 %! Approximate multi-additive mappings in 2-Banach spaces %K Stability %K multi-additive mapping %K linear 2-normed space %R %X A mapping $f:V^n \longrightarrow W$, where $V$ is a commutative semigroup, $W$ 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]. %U http://bims.iranjournals.ir/article_650_acc314eef58d9b12fb5a6ec893d82ea4.pdf