Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A FIXED POINT APPROACH TO THE STABILITY OF THE ADDITIVE-CUBIC FUNCTIONAL EQUATIONS

  • Jin, Sun-Sook (Department of Mathematics Education, Gongju National University of Education) ;
  • Lee, Yang-Hi (Department of Mathematics Education, Gongju National University of Education)
  • Received : 2019.10.02
  • Accepted : 2020.04.21
  • Published : 2020.09.25
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Abstract

In this paper, we investigate the stability of the additive-cubic functional equations f(x+ky)+f(x-ky)-k2 f(x+y)-k2 f(x-y)+(k2-1)f(x) - (k2-1)f(-x) = 0, f(x+ky)-f(ky-x)-k2 f(x+y)+k2 f(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.

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References

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