@article {
author = {Eshaghi Gordji, M. and Farrokhzad, F. and Hosseinioun, S.A.R.},
title = {Ternary (\sigma,\tau,\xi)-derivations on Banach ternary algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {5},
number = {1 (Special Issue)},
pages = {23-35},
year = {2014},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2014.112},
abstract = {Let A be a Banach ternary algebra over a scalar eld R or C and X be a Banach ternary A-module.Let ; and be linear mappings on A, a linear mapping D : (A; [ ]A) ! (X; [ ]X) is called a ternary(; ; )-derivation, ifD([xyz]A) = [D(x) (y)(z)]X + [(x)D(y)(z)]X + [(x) (y)D(z)]Xfor all x; y; z 2 A.In this paper, we investigate ternary (; ; )-derivation on Banach ternary algebras, associatedwith the following functional equationf(x + y + z4) + f(3x y 4z4) + f(4x + 3z4) = 2f(x) :Moreover, we prove the generalized Ulam{Hyers stability of ternary (; ; )-derivations on Banachternary algebras.},
keywords = {},
url = {https://ijnaa.semnan.ac.ir/article_112.html},
eprint = {https://ijnaa.semnan.ac.ir/article_112_ecfffaca50a5c1a9f09e21fc58595127.pdf}
}