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
Paokanta,,
S.
, &
Lee,,
J.
R.
(2019). 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, 26(4), 305-313, https://doi.org/10.7468/jksmeb.2019.26.4.305
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