Fuzzy ∗∗-homomorphisms and fuzzy ∗∗-derivations in induced fuzzy C∗C∗-algebras

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∗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∗C∗-algebras.