摘要：Using fixed point method, we establish the Hyers-Ulam stability of m-Lie homomorphisms and Jordan m-Lie homomorphisms in m-Lie algebras associated to the following generalized Jensen functional equation ∑ i = 1 m μ f ( x i ) = 1 2 m [ ∑ i = 1 m f ( μ m x i + ∑ j = 1 , i ≠ j m x j ) + f ( ∑ i = 1 m μ x i ) ] for a fixed positive integer m with m ≥ 2. Mathematics Subject Classification (2010): Primary 17A42, 39B82, 39B52.
关键词：m -Lie algebra ; homomorphism ; Jordan homomorphism ; Hyers-Ulam stability ; fixed point approach ; Jensen-type functional equation
