%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