Homomorphisms and derivations in induced fuzzy C*-algebras

Abstract

Using fixed point method, we establish the Hyers-Ulam stability of fuzzy au-homomorphisms in fuzzy -algebras and fuzzy au-derivations on fuzzy -algebras associated to the following -Cauchy-Jensen additive functional equation:Sigma(1 <= j1<...<Jm <= n1 <= kj(not equal for all is an element of{1, ... ,m})<= n)f(Sigma(m)(j=1)/m + Sigma X-n-m(l=1)kj) = (n - m + 1)/n (n(m))Sigma(n)(i=1)f(x(j))