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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.
키워드
fuzzy Banach space; fixed point; generalized Hyers-Ulam stability; quadratic mapping; cubic mapping
- 제목
- Fuzzy stability of a cubic-quadratic functional equation: a fixed point approach
- 저자
- 박춘길; 이상훈; 이상협
- 발행일
- 2009-09
- 저널명
- 한국수학논문집
- 권
- 17
- 호
- 3
- 페이지
- 315 ~ 330