A Fixed Point Approach to the Stability of 3-Lie Homomorphisms and 3-Lie Derivations

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2019, v.26 no.4, pp.305-313

https://doi.org/10.7468/jksmeb.2019.26.4.305

Paokanta, Siriluk (Department of Mathematics, Research Institute for Natural Sciences, Hanyang University)
Lee, Jung Rye (Department of Mathematics, Daejin University)

Paokanta, Siriluk, & Lee, Jung Rye. (2019). A FIXED POINT APPROACH TO THE STABILITY OF 3-LIE HOMOMORPHISMS AND 3-LIE DERIVATIONS. 한국수학교육학회지시리즈B:순수및응용수학, 26(4), 305-313, https://doi.org/10.7468/jksmeb.2019.26.4.305

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Abstract

Using the fixed point method, we prove the Hyers-Ulam stability of 3-Lie homomorphisms and 3-Lie derivations in 3-Lie algebras for Cauchy-Jensen functional equation.

keywords: Jensen functional equation, fixed point method, 3-Lie algebra, 3-Lie homomorphisms, 3-Lie derivation, Hyers-Ulam stability

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논문 상세

Vol.26 No.4

A FIXED POINT APPROACH TO THE STABILITY OF 3-LIE HOMOMORPHISMS AND 3-LIE DERIVATIONS

A Fixed Point Approach to the Stability of 3-Lie Homomorphisms and 3-Lie Derivations

Abstract

한국수학교육학회지시리즈B:순수및응용수학