Approximation of Homomorphisms and Derivations on non‐ArchimedeanLie C∗‐Algebras via Fixed Point Method

Using fixed point methods, we prove the generalized Hyers‐Ulam stability of homomorphisms in C∗‐algebras and Lie C∗‐algebras and of derivations on non‐Archimedean C∗‐algebras and Non‐Archimedean Lie C∗‐algebras for an m‐variable additive functional equation.