Nearly higher ternary derivations in Banach ternary algebras: An alternative fixed point approach

Document Type : Research Paper


1 Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA

2 Department of Mathematics, Shahid Beheshti University, Tehran, Iran.

3 Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.


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
$$f(\lambda_1x + \lambda_2y + \lambda_3z) = \lambda_1f(x) + \lambda_2f(y) + \lambda_3f(z).$$