A FIXED POINT APPROACH TO THE STABILITY OF THE ADDITIVE-CUBIC FUNCTIONAL EQUATIONS

In this paper, we investigate the stability of the additive-cubic functional equations f(x+ky)+f(x-ky)-k2f(x+y)-k2f(x-y)+(k2-1)f(x)-(k2-1)f(-x) = 0; f(x+ky)-f(ky-x)-k2f(x+y)+k2f(y-x)+2(k2-1)f(x)=0; f(kx+y)+f(kx-y) -kf(x+y)-kf(x-y)-2f(kx)+2kf(x)=0 by using the fixed point theory in the sense of L. Că...

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Bibliographic Details
Published inHonam mathematical journal Vol. 42; no. 3; pp. 449 - 460
Main Authors Jin, Sun-Sook, Lee, Yang-Hi
Format Journal Article
LanguageKorean
Published 호남수학회 30.09.2020
Subjects
additive-cubic functional equation
fixed point method
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Summary:In this paper, we investigate the stability of the additive-cubic functional equations f(x+ky)+f(x-ky)-k2f(x+y)-k2f(x-y)+(k2-1)f(x)-(k2-1)f(-x) = 0; f(x+ky)-f(ky-x)-k2f(x+y)+k2f(y-x)+2(k2-1)f(x)=0; f(kx+y)+f(kx-y) -kf(x+y)-kf(x-y)-2f(kx)+2kf(x)=0 by using the fixed point theory in the sense of L. Cădariu and V. Radu.
Bibliography:THE HONAM MATHEMATICAL SOCIETY KWANGJU
KISTI1.1003/JNL.JAKO202027265524094
ISSN:1225-293X