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초록
The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al. Using fixed point method, we prove the Hyers-Ulam stability of the functional equation lf (Sigma(l)(i=1)x(i)) + Sigma(l)(i=1)f(lx(i) - Sigma(l)(i=1)d(j)) (0.1) = l(2) + l/2 Sigma(l)(i=1)f(x(i)) + l(2) - l/2 Sigma(l)(i=1)f(-x(i)) (l >= 2) in fuzzy Banach spaces.
키워드
fuzzy Banach space; fixed point; functional equation associated with inner product space; Hyers-Ulam stability; quadratic mapping; additive mapping
- 제목
- Fixed points and fuzzy stability of an additive-quadratic functional equation
- 저자
- Park, Choonkil; Najati, Abbas; Jang, Sun Young
- 발행일
- 2013-04
- 유형
- Article
- 권
- 15
- 호
- 3
- 페이지
- 452 ~ 462