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A FIXED POINT APPROACH TO THE STABILITY OF THE QUADRATIC-ADDITIVE FUNCTIONAL EQUATION

박원길|배재형|이양희|진선숙
한국수학교육학회|2011.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제4호|pp. 313-328

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참고문헌

키워드

fixed point methodHyers-Ulam-Rassias stabilityquadratic-additive functional equation.
주제분류수학

초록

We investigate the stability of the functional equation f(x + y + z + w) + 2f(x) + 2f(y) + 2f(z) + 2f(w) ¡ f(x + y)¡ f(x + z) ¡ f(x + w) ¡ f(y + z) ¡ f(y + w) ¡ f(z + w) = 0by using a fixed point theorem in the sense of L. C¸adariu and V. Radu.

Abstract

We investigate the stability of the functional equation f(x + y + z + w) + 2f(x) + 2f(y) + 2f(z) + 2f(w) ¡ f(x + y)¡ f(x + z) ¡ f(x + w) ¡ f(y + z) ¡ f(y + w) ¡ f(z + w) = 0by using a fixed point theorem in the sense of L. C¸adariu and V. Radu.

참고문헌 (18)

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