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초록
The main objective of this paper is to introduce and to study fuzzy normed Riesz spaces. By the direct method, we prove the Hyers-Ulam stability of the following lattice preserving functional equation in fuzzy Banach Riesz space N2 (formula presented) are fuzzy normed Riesz space and fuzzy Banach Riesz space, respectively; and (formula presented) is a mapping such that (formula presented) for all τ, η ≥ 1 and α ∈ [0, 1).
키워드
fuzzy normed Riesz space; fixed point; Hyers-Ulam stability; lattice preserving functional equation
- 제목
- Riesz fuzzy normed spaces and stability of a lattice preserving functional equation
- 저자
- Park, Choonkil; Movahednia, Ehsan; Mosadegh, Seyed Mohammad Sadegh Modarres; Mursaleen, Mohammad
- 발행일
- 2018-03
- 유형
- Article
- 권
- 24
- 호
- 3
- 페이지
- 569 ~ 579