Approximate 𝑛-Lie Homomorphisms and Jordan 𝑛-Lie Homomorphisms on 𝑛-Lie Algebras

Using fixed point methods, we establish the stability of 𝑛-Lie homomorphisms and Jordan 𝑛-Lie homomorphisms on 𝑛-Lie algebras associated to the following generalized Jensen functional equation ∑𝜇𝑓(𝑛𝑖=1𝑥𝑖∑/𝑛)+𝜇𝑛𝑗=2∑𝑓(𝑛𝑖=1,𝑖≠𝑗𝑥𝑖−(𝑛−1)𝑥𝑗/𝑛)=𝑓(𝜇𝑥1)(𝑛≥2)....

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Bibliographic Details
Main Authors: M. Eshaghi Gordji, G. H. Kim
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/279632
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