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A FIXED POINT APPROACH TO THE STABILITY OF THE ADDITIVE-CUBIC FUNCTIONAL EQUATIONS
A FIXED POINT APPROACH TO THE STABILITY OF THE ADDITIVE-CUBIC FUNCTIONAL EQUATIONS
- 호남수학회
- Honam Mathematical Journal
- Vol.42 No.3
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2020.01449 - 460 (12 pages)
- 0
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In this paper, we investigate the stability of the additive-cubic functional equations f(x+ky)+f(x-ky)-k<sup>2</sup> f(x+y)-k<sup>2</sup> f(x-y)+(k<sup>2</sup>-1)f(x) - (k<sup>2</sup>-1)f(-x) = 0, f(x+ky)-f(ky-x)-k<sup>2</sup> f(x+y)+k<sup>2</sup> f(y-x)+2(k<sup>2</sup>-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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