%0 Journal Article
%T Homomorphisms and derivations in induced fuzzy C*-algebras
%A Hassan Azadi Kenary
%A Mojtaba Ghirati
%A Choonkil Park and Madjid Eshaghi Gordji
%J Journal of Inequalities and Applications
%D 2013
%I 
%R 10.1186/1029-242X-2013-88
%X Using fixed point method, we establish the Hyers-Ulam stability of the fuzzy $^*-$homomorphisms in fuzzy $C^*$-algebras and fuzzy $^*$-derivations on fuzzy $C^*$-algebras associated to the following $(m,n)$-Cauchy-Jensen additive functional equation $$\sum_{\begin{subarray}{c}1\leq i_1<\cdots<i_m\leq n\\ 1\leq k_l(\neq i_j, \forall j\in \{1,\cdots,m\})\leq n \end{subarray}}f\left(\frac{\sum_{j=1}^m x_{i_j}}{m}+\sum_{l=1}^{n-m}x_{k_{l}}\right) =\frac{(n-m+1)}{n}\left(\begin{array}{c} n \\ m \\ \end{array}\right)\sum_{i=1}^{n}f(x_i).$$
%U http://www.journalofinequalitiesandapplications.com/content/2013/1/88/abstract