## Abstract and Applied Analysis

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

#### Abstract

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 $\mu f({\sum }_{i=1}^{n}{x}_{i}/n)+\mu {\sum }_{j=2}^{n}f({\sum }_{i=1,i\ne j}^{n}{x}_{i}-(n-1){x}_{j}/n)=f(\mu {x}_{1})(n\ge 2)$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 279632, 11 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495662

Digital Object Identifier
doi:10.1155/2012/279632

Mathematical Reviews number (MathSciNet)
MR2898052

Zentralblatt MATH identifier
1247.39029

#### Citation

Gordji, M. Eshaghi; Kim, G. H. Approximate $n$ -Lie Homomorphisms and Jordan $n$ -Lie Homomorphisms on $n$ -Lie Algebras. Abstr. Appl. Anal. 2012 (2012), Article ID 279632, 11 pages. doi:10.1155/2012/279632. https://projecteuclid.org/euclid.aaa/1355495662

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