A fixed point technique for investigating the stability of (α,β,γ)(α,β,γ)-derivations on Lie C∗C∗-algebras

We apply a fixed point theorem to investigate some new stability results for (α,β,γ)(α,β,γ)-derivations on Lie C∗C∗-algebras associated with the generalized Cauchy–Jensen type additive functional equation ∑i=1nf(xi+1n−1∑j=1,j≠inxj)=2∑i=1nf(xi).