Stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras

摘要

The motivation of this paper is to apply the Hypers-Ulam stability problems of some kinds of functional equations to the classes of n-Lie homomorphisms and n-Lie algebras by using the structures of n-Lie homomorphisms and n-Lie algebras. In this paper, the generalized Hyers-Ulam-Rassias stability of n-Lie homomorphisms and Jordan n-Lie homomorphisms on n-Lie algebras associated to the generalized Cauchy-Jensen-Rassias additive functional equation are investigated using the fixed point methods.