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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Lee, Jung Rye
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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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics