文章基本信息

标题：Approximate m -Lie homomorphisms and approximate Jordan m -Lie homomorphisms associated to a parametric additive functional equation
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作者：Hassan Azadi Kenary ; Hamid Rezaei ; Madjid Eshaghi Gordji 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：125
DOI：10.1186/1687-1847-2012-125
语种：English
出版社：Hindawi Publishing Corporation
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