Generalized Hyers-Ulam Stability for General Additive Functional Equations on Non-Archimedean Random Lie C*-Algebras

Zhihua Wang, Prasanna K Sahoo

In this paper, using the fixed point method, we prove some results related to the generalized Hyers-Ulam stability of homomorphisms and derivations in non-Archimedean random C∗-algebras and non-Archimedean random Lie C∗-algebras for the generalized additive functional equation ∑ 1≤i< j≤n f (xi + x j 2 + n−2∑ l=1, kl,i, j xk l ) = (n − 1)2 2 n∑ i=1 f (xi) where n ∈N is a fixed integer with n ≥ 3.