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http://dx.doi.org/10.11568/kjm.2016.24.4.587

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

Kang, Dongseung (Mathematics Education Dankook University)
Koh, Heejeong (Mathematics Education Dankook University)
Publication Information
Korean Journal of Mathematics / v.24, no.4, 2016 , pp. 587-600 More about this Journal
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 ${\ast}$-derivation by using a directed method and an alternative fixed point method.
Keywords
Hyers-Ulam stability; quartic mapping; Lie ${\ast}$-derivation; Banach $\ast$-algebra; fixed point alternative;
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Times Cited By KSCI : 1  (Citation Analysis)
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