Khatere Ghasemi - Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box ۹۸۱۳۵-۶۷۴, Zahedan, Iran
Shahram Ghaffary - Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box ۹۸۱۳۵-۶۷۴, Zahedan, Iran
Javad Jamalzadeh - Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box ۹۸۱۳۵-۶۷۴, Zahedan, Iran
Choonkil Park - Research Institute for Natural Sciences, Hanyang University, Seoul ۰۴۷۶۳, Korea

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.

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