Document Type : Research Paper

Authors

• S.A.R. Hosseinioun ¹
• R. Farrokhzad ²
• M. Eshaghi ³

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.

Abstract

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

Keywords

• Alternative fixed point
• HyersUlamRassias stability
• ternary algebra
• ternary derivation