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A FIXED POINT APPROACH TO THE STABILITY OF QUARTIC LIE *-DERIVATIONS

고희정|강동승
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2016.12|한국수학논문집 (Korean Journal of Mathematics)|제24권 제4호|pp. 587-600|DOI https://doi.org/10.11568/kjm.2016.24.4.587

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참고문헌

키워드

Hyers-Ulam stabilityfixed point alternativequartic mappingLie $*$-derivationBanach $*$-algebra
주제분류수학

초록

We obtain the general solution of the functional equation $f(ax+y)-f(x-ay)+\frac{1}{2}a(a^2+1)f(x-y)+(a^4-1)f(y)= \,\,\frac{1}{2}a(a^2+1)f(x+y)+(a^4-1)f(x)$ and prove the stability problem of the quartic Lie $*$-derivation by using a directed method and an alternative fixed point method.

Abstract

We obtain the general solution of the functional equation $f(ax+y)-f(x-ay)+\frac{1}{2}a(a^2+1)f(x-y)+(a^4-1)f(y)= \,\,\frac{1}{2}a(a^2+1)f(x+y)+(a^4-1)f(x)$ and prove the stability problem of the quartic Lie $*$-derivation by using a directed method and an alternative fixed point method.

참고문헌 (19)

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APPROXIMATE QUARTIC LIE -DERIVATIONS고희정한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제4호Stability of $(\alpha ,\beta ,\gamma)$-derivations on Lie C$^{}$-algebra associated to a Pexiderized quadratic type functional equationNasrin Eghbali, Somayeh Hazrati대한수학회 · 대한수학회논문집2016 · 제31권 제1호A Fixed Point Approach to the Stability of 3-Lie Homomorphisms and 3-Lie Derivations이정례, Siriluk Paokanta한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호A FIXED POINT APPROACH TO THE STABILITY OF A QUADRATIC-CUBIC-QUARTIC FUNCTIONAL EQUATION이양희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제5호Ulam Stability Generalizations of 4th- Order Ternary Deriva- tions Associated to a Jmrassias Quartic Functional Equation on Frechet AlgebrasAli Ebadian경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제2호A Fixed Point Approach to the Stability of an Additive-cubic-quartic Functional Equation이양희한국수학교육학회 · 이론수학과 교직수학2019 · 제26권 제4호

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