Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68225220140701Nearly higher ternary derivations in Banach ternary algebras: An alternative fixed point approach71512110.22075/ijnaa.2014.121ENS.A.R. HosseiniounDepartment of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USAR. FarrokhzadDepartment of Mathematics, Shahid Beheshti University, Tehran, Iran.M. EshaghiDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.Journal Article20130802We 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<br />$$f(\lambda_1x + \lambda_2y + \lambda_3z) = \lambda_1f(x) + \lambda_2f(y) + \lambda_3f(z).$$https://ijnaa.semnan.ac.ir/article_121_3f2a6733a98636de75a86487f4156522.pdf