@article {
author = {Cieplinski, K.},
title = {Approximate multi-additive mappings in 2-Banach spaces},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {41},
number = {3},
pages = {785-792},
year = {2015},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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].},
keywords = {Stability,multi-additive mapping,linear 2-normed space},
url = {http://bims.iranjournals.ir/article_650.html},
eprint = {http://bims.iranjournals.ir/article_650_acc314eef58d9b12fb5a6ec893d82ea4.pdf}
}