Approximate \(m\)-Lie homomorphisms and approximate Jordan \(m\)-Lie homomorphisms associated to a parametric additive functional equation

DOI10.1186/1687-1847-2012-125zbMath1388.39016OpenAlexW2145820106WikidataQ59289015 ScholiaQ59289015MaRDI QIDQ320359

Hamid Rezaei, Sang Og Kim, Hassan Azadi Kenary, Madjid Eshaghi-Gordji, Chun-Gil Park

Publication date: 6 October 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-125

zbMATH Keywords

Hyers-Ulam stabilityhomomorphism\(m\)-Lie algebrafixed point approachJensen-type functional equationJordan homomorphism

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Other (n)-ary compositions ((n ge 3)) (17A42)

Cites Work

• Approximately \(J^*\)-homomorphisms: a fixed point approach
• One-loop corrections to Bagger-Lambert theory
• Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach
• On foundation of the generalized Nambu mechanics
• On an \(n\)-Lie algebra of Jacobians
• On the stability of \(J^*\)-derivations
• n-ary algebras: a review with applications
• On the Stability of the Linear Mapping in Banach Spaces
• Generalized Hamiltonian Dynamics
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• On the Stability of the Linear Functional Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximate \(m\)-Lie homomorphisms and approximate Jordan \(m\)-Lie homomorphisms associated to a parametric additive functional equation