a remark on the hyers-ulam-rassias stability of n-jordan ∗-homomorphisms on c ∗ -algebras

In the hyers-ulam-rassias stability depending on the type of the function whose stability we want to verify a suitable functional equation is used. the authors in [6] want to investigate the hyers-ulam-rassias stability of n-jordan c ∗ - homomorphisms on c ∗ -algebras, but they used a quadratic functional equation while we know that the homomorphisms are linear on c ∗ -algebras. in this paper, we correct the main results of [6] by removing the quadratic functional equation and replacing the linear one and removing some extra conditions. we also show that by using some other multi-variable linear functional equations, the estimation becomes better and more accurate