Stability and superstability of n-Jordan ∗-homomorphisms in Frechet locally C*-algebras

Using fixed point methods, we prove the Hyers-Ulam stability and the superstability of n-Jordan *-homomorphisms in Fr\'echet locally C^*-algebras for the generalized Jensen-type functional equationr f\left(\frac{ a+b}{ r} \right) + r f\left( \frac{a-b}{r}\right) =۲f(a),where r is a fixed  real number greater than ۱.

Keywords:

n-Jordan ∗-homomorphism , Frechet algebra , Fixed point method , Hyers-Ulam stability