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A fixed point approach to the stability of a quadratic-cubic functional equation

이양희
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2019.06|한국수학논문집 (Korean Journal of Mathematics)|제27권 제2호|pp. 343-355

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키워드

fixed point methodquadratic-cubic functional equation.
주제분류수학

초록

In this paper, we investigate the stability of the functional equation \begin{align*}f (x +ky)&-kf (x + y)+kf (x - y)- f (x-ky)- f (ky)\\ &+\frac{k^3+k^2-2k}2 f ( -y)-\frac{k^3-k^2-2k}2 f ( y)=0 \end{align*} by using the fixed point theory in the sense of L. C\u adariu and V. Radu.

Abstract

In this paper, we investigate the stability of the functional equation \begin{align*}f (x +ky)&-kf (x + y)+kf (x - y)- f (x-ky)- f (ky)\\ &+\frac{k^3+k^2-2k}2 f ( -y)-\frac{k^3-k^2-2k}2 f ( y)=0 \end{align*} by using the fixed point theory in the sense of L. C\u adariu and V. Radu.

참고문헌 (16)

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