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