TERNARY HOM-DERIVATION-HOMOMORPHISM
Keywords:
Hyers-Ulam stability; direct method; fixed point method; ternary hom-derivation in C ∗ -ternary algebra; ternary homomorphism in C ∗ -ternary algebra.Abstract
In this paper, we introduce and solve the following additive-additive (s, t)-functional inequality
where s and t are fixed nonzero complex numbers with |s| < 1 and |t| < 1. Using the direct method and the fixed point method, we prove the Hyers-Ulam stability of ternary homderivations and ternary homomorphisms in C ∗ -ternary algebras, associated to the additiveadditive (s, t)-functional inequality (0.1) and the following functional inequality