Mathematical and Computer Modelling, 2011, 54(9), P.2027-2039
Abstract
Using the fixed point method, we prove the Hyers-Ulam stability of the Cauchy-Jensen functional equation and of the Cauchy-Jensen functional inequality in fuzzy Banach *-algebras and in induced fuzzy C*-algebras. Furthermore, using the fixed point method, we prove the Hyers-Ulam stability of fuzzy *-derivations in fuzzy Banach *-algebras and in induced fuzzy C*-algebras.