Approximate \(n\)-Lie homomorphisms and Jordan \(n\)-Lie homomorphisms on \(n\)-Lie algebras
type: Item
instance of: scholarly article
title: Approximate \(n\)-Lie homomorphisms and Jordan \(n\)-Lie homomorphisms on \(n\)-Lie algebras
zbMATH Open document ID: 1247.39029
DOI: 10.1155/2012/279632
author: Gwang Hui Kim
author: Madjid Eshaghi Gordji
published in: Abstract and Applied Analysis
publication date: 2012-05-14T00:00:00Z
review text: Summary: 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 \[ \mu f\left(\sum^n_{i=1} x_i/n\right) + \mu \sum^n_{j=2} f\left(\sum^n_{_{\substack{ i=1,\\ i \neq j}}} x_i - (n - 1) x_j/n\right) = f(\mu x_1)\quad(n \geq 2). \]
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 17A42
zbMATH DE Number: 6034200
Wikidata QID: Q58696230
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/279632
OpenAlex ID: W2014314235
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description: scientific article; zbMATH DE number 6034200