TY - JOUR
ID - 650
TI - Approximate multi-additive mappings in 2-Banach spaces
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Cieplinski, K.
AD - AGH University of Science and Technology, Faculty of Applied Mathematics,
al. A. Mickiewicza 30,
30-059 Krakow, Poland
Y1 - 2015
PY - 2015
VL - 41
IS - 3
SP - 785
EP - 792
KW - Stability
KW - multi-additive mapping
KW - linear 2-normed space
DO -
N2 - 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].
UR - http://bims.iranjournals.ir/article_650.html
L1 - http://bims.iranjournals.ir/article_650_acc314eef58d9b12fb5a6ec893d82ea4.pdf
ER -