TY - JOUR
ID - 121
TI - Nearly higher ternary derivations in Banach ternary algebras: An alternative fixed point approach
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Hosseinioun, S.A.R.
AU - Farrokhzad, R.
AU - Eshaghi, M.
AD - Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA
AD - Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
AD - Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
Y1 - 2014
PY - 2014
VL - 5
IS - 2
SP - 7
EP - 15
KW - Alternative fixed point
KW - HyersUlamRassias stability
KW - ternary algebra
KW - ternary derivation
DO - 10.22075/ijnaa.2014.121
N2 - We say a functional equation $(\xi)$ is stable if any function $g$ satisfying the equation $(\xi)$ approximately is near to true solution of $(\xi)$. Using fixed point methods, we investigate approximately higher ternary derivations in Banach ternary algebras via the Cauchy functional equation$$f(\lambda_1x + \lambda_2y + \lambda_3z) = \lambda_1f(x) + \lambda_2f(y) + \lambda_3f(z).$$
UR - https://ijnaa.semnan.ac.ir/article_121.html
L1 - https://ijnaa.semnan.ac.ir/article_121_3f2a6733a98636de75a86487f4156522.pdf
ER -