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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)

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

한국수학교육학회지시리즈B:순수및응용수학