Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X41320150601Approximate multi-additive mappings in 2-Banach spaces785792650ENK.CieplinskiAGH University of Science and Technology, Faculty of Applied Mathematics,
al. A. Mickiewicza 30,
30-059 Krakow, PolandJournal Article20131122A 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].http://bims.iranjournals.ir/article_650_acc314eef58d9b12fb5a6ec893d82ea4.pdf