Approximate homomorphisms and derivations on normed Lie triple systems (Q2249986)

Summary: We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equation \(r_0f((s\sum_{j=1}^px_j+t\sum_{j=1}^d y_j)(r_0)=s\sum_{j=1}^p f(x_j)+t\sum_{j=1}^d f(y_j)\), where \(r_0,s\) and \(t\) are nonzero real numbers. As a results, we generalize some stability results concerning this equation.