상세 보기
초록
In this paper, we investigate the following functional inequalities f(x)+f(y)+ f(z)parallel to <= parallel to f(x+ z)parallel to (0,1) and f(x)+f(y)+ 2f(z)parallel to <= parallel to 2f(x+y)/2 + z)parallel to (0,2) in fuzzy normed vector spaces and prove the generalized Hyers-Ulam stability of the functional inequalities (0.1) and (0.2) in fuzzy normed vector spaces in the spirit of the Th.M. Rassias stability approach.
키워드
fuzzy Banach space; additive functional inequality; additive functional equation; generalized Hyers-Ulam stability; STABILITY; HOMOMORPHISMS
- 제목
- FUZZY FUNCTIONAL INEQUALITIES
- 저자
- Cho, Yeol Je; Park, Choonkil; Saadati, Reza
- 발행일
- 2011-02
- 유형
- Article
- 권
- 13
- 호
- 2
- 페이지
- 305 ~ 320