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초록
Lee et al. considered the following quadratic functional equation f(lx + y) + f(lx - y) = 2l(2)f(x) + 2f(y) and proved the Hyers-Ulam-Rassias stability of the above functional equation in classical Banach spaces. In this paper, we prove the Hyers-Ulam-Rassias stability of the above quadratic functional equation in non-Archimedean L-fuzzy normed spaces.
키워드
L-fuzzy metric and normed spaces; Intuitionistic fuzzy metric and normed spaces; Hyers-Ulam-Rassias stability; Quadratic functional equation; Non-Archimedean L-fuzzy normed space
- 제목
- Non-Archimedean L-fuzzy normed spaces and stability of functional equations
- 저자
- Saadati, Reza; Park, Choonkil
- 발행일
- 2010-10
- 유형
- Article
- 권
- 60
- 호
- 8
- 페이지
- 2488 ~ 2496