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초록
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following cubic-quartic functional equation (0.1) f(2x + y) + f(2x - y) = 3f(x + y) + f(-x -y) + 3f(x - y) + f(y - x) + 18f(x) + 6f(-x) 3f(y) 3f(-y) in fuzzy Banach spaces.
키워드
fuzzy Banach space; fixed point; generalized Hyers-Ulam stability; quartic mapping; cubic mapping; ULAM-RASSIAS STABILITY
- 제목
- FUZZY STABILITY OF A CUBIC-QUARTIC FUNCTIONAL EQUATION: A FIXED POINT APPROACH
- 저자
- Jang, Sun-Young; Park, Choonkil; Shin, Dong Yun
- 발행일
- 2011-05
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 48
- 호
- 3
- 페이지
- 491 ~ 503