TY - JOUR
ID - 12841
TI - Superstability of $m$-additive maps on complete non--Archimedean spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Nikoufar, Ismail
AD - Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran.
Y1 - 2015
PY - 2015
VL - 02
IS - 1
SP - 19
EP - 25
KW - Superstability
KW - Complete non--Archimedean spaces
KW - $m$-additive functional equation
DO -
N2 - The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers. In this paper, we exhibit the superstability of $m$-additive maps on complete non--Archimedean spaces via a fixed point method raised by Diaz and Margolis.
UR - http://scma.maragheh.ac.ir/article_12841.html
L1 - http://scma.maragheh.ac.ir/article_12841_21859c865b8aa0796f00b73363ba862a.pdf
ER -