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ISSN : 1226-0657

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Vol.22 No.4

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APPROXIMATE QUARTIC 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
2015, v.22 no.4, pp.389-401
https://doi.org/10.7468/jksmeb.2015.22.4.389
KOH, HEEJEONG
KOH,, H. (2015). APPROXIMATE QUARTIC LIE -DERIVATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 22(4), 389-401, https://doi.org/10.7468/jksmeb.2015.22.4.389

Abstract

We will show the general solution of the functional equation f(x + ay) + f(x &#x2212; ay) + 2(a<sup>2</sup> &#x2212; 1)f(x) = a<sup>2</sup>f(x + y) + a<sup>2</sup>f(x &#x2212; y) + 2a<sup>2</sup>(a<sup>2</sup> &#x2212; 1)f(y) and investigate the stability of quartic Lie *-derivations associated with the given functional equation.

keywords
Hyers-Ulam-Rassias stability, quartic mapping, Lie *-derivation, Banach *-algebra, fixed point alternative

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