Nearly ternary quadratic higher derivations on non-archimedean ternary Banach algebras: A fixed point approach

We investigate the stability and superstability of ternary quadratic higher derivations in non-Archimedean ternary algebras by using a version of fixed point theorem via quadratic functional equation. Copyright © 2011 M. Eshaghi Gordji et al

Approximate ternary Jordan derivations on banach ternary algebras

Let A be a Banach ternary algebra over a scalar field R or C and X be a ternary Banach A -module. A linear mapping D: (A, [] A) → (X, [] X) is called a ternary Jordan derivation if D ([xxx] A) = [D (x) xx] X + [xD (x) x] X + [xxD (x)] X for all xA. In this paper, we investigate ternary Jordan derivations on Banach ternary algebras, associated with the following functional equation f ((x+y+z) /4) +f ((3x-y-4z) /4) +f ((4x+3z) /4) =2f (x). Moreover, we prove the generalized Ulam-Hyers stability of ternary Jordan derivations on Banach ternary algebras. © 2009 American Institute of Physics

Approximately ternary homomorphisms and derivations on C * -ternary algebras

We investigate the stability and superstability of ternary homomorphisms between C * -ternary algebras and derivations on C * -ternary algebras, associated with the following functional equation f ((x 2 - x 1) /3) + f ((x 1- 3 x 3) /3) + f ((3 x 1+ 3 x 3-x 2) / 3) = f (x 1). Copyright © 2012 M. Eshaghi Gordji et al