Author/Authors :
Jamalzadeh, Javad Department of Mathematics - Faculty of Mathematics - University of Sistan and Baluchestan, Zahedan, Iran , Ghasemi, Khatere Department of Mathematics - Faculty of Mathematics - University of Sistan and Baluchestan, Zahedan, Iran , Ghaffary, Shahram Department of Mathematics - Faculty of Mathematics - University of Sistan and Baluchestan, Zahedan, Iran
Abstract :
Using the fixed point method, we prove the Hyers-Ulam stability and the superstability of n-Jordan ∗-derivations in Fr'echet locally C∗-algebras for the following generalized Jensen-type functional equation
f(a+b2)+f(a−b2)=f(a).
Keywords :
n-Jordan *-derivation , Frechet locally C-algebra , Frechet algebra , fixed point method , Hyers-Ulam stability