Approximate homomorphisms and derivations on non-Archimedean Lie JC*-algebras.

In this paper, by using the fixed point method, we prove the Hyers-Ulam stability of homomorphisms in non-Archimedean Lie JC*-algebras and derivations on non-Archimedean Lie JC*-algebras associated with the following additive mapping: n∑k=2(k∑i1=2k+1∑i2=i1+1 ... n∑in-k+1=in-k+1)f (n ∑i=1,i≠i1,...,in-k+1 xi -n-k+1 ∑ r=1 xir + f (n∑i=1 xi) = 2n-1f(x1) for a fixed positive integer n with n ≥ 2. [ABSTRACT FROM AUTHOR]