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

Document Type: Research Paper

Authors

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 () is stable if any function g satisfying the equation () approximately
is near to true solution of (). Using xed point methods, we investigate approximately higher
ternary derivations in Banach ternary algebras via the Cauchy functional equation
f(1x + 2y + 3z) = 1f(x) + 2f(y) + 3f(z) :

Keywords