شماره ركورد كنفرانس :
4079
عنوان مقاله :
Stability of ternary m-derivations over Banach ternary modules
پديدآورندگان :
Alizadeh Z. zahra.alizade43@gmail.com Lorestan University , Ghazanfari A. G. ghazanfari.a@lu.ac.ir Lorestan University
كليدواژه :
Ternary algebras , stability , approximation , derivations , ternary modules
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
In this paper we introduce Banach ternary modules over Banach ternary algebras and using
fixed point methods, we prove the stability of ternary additive, quadratic, cubic and quartic
derivations in such modules for the functional equation
[(f(ax + y) + f(ax − y) = a^{m−2}[f(x + y) + f(x − y)$
+ 2(a2 − 1)[am−2f(x) +
(m − 2)(1 − (m − 2)2)
6
f(y)].
for each m = 1, 2, 3, 4.
