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Fuzzy stability of a cubic-quadratic functional equation: a fixed point approach

이상훈|이상협|박춘길
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2009.09|한국수학논문집 (Korean Journal of Mathematics)|제17권 제3호|pp. 315-330

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참고문헌

키워드

fixed pointfuzzy Banach spacegeneralized Hyers-Ulam stabilityquadratic mappingcubic mapping
주제분류수학

초록

Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following cubic-quadratic functional equation (0.1) 1/2 (f(2x+y) + f(2x-y) - f(-2x-y) - f(y-2x)) = 2f(x+y) + 2 f(x-y) + 4 f(x) - 8f(-x) - 2f(y) - 2f(-y) in fuzzy Banach spaces.

Abstract

Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following cubic-quadratic functional equation (0.1) 1/2 (f(2x+y) + f(2x-y) - f(-2x-y) - f(y-2x)) = 2f(x+y) + 2 f(x-y) + 4 f(x) - 8f(-x) - 2f(y) - 2f(-y) in fuzzy Banach spaces.

참고문헌 (12)

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