Stability of \(n\)-Lie homomorphisms and Jordan \(n\)-Lie homomorphisms on \(n\)-Lie algebras. (English) Zbl 1366.39020
Summary: 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.{
©2013 American Institute of Physics}
©2013 American Institute of Physics}
MSC:
| 39B82 | Stability, separation, extension, and related topics for functional equations |
| 17A42 | Other \(n\)-ary compositions \((n \ge 3)\) |
Keywords:
generalized Hyers-Ulam-Rassias stability; Cauchy-Jensen-Rassias additive functional equationReferences:
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