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초록
In this paper, we define an intuitionistic fuzzy 2-normed space. Using the fixed point alternative approach, we investigate the Hyers-Ulam stability of the following quadratic functional equation f(ax + by) + f(ax - by) = a/2 f (x + y) + a/2 f(x - y) + (2a(2) - a)f (x) + (2b(2) - a) f (y) in intuitionistic fuzzy 2-Banach spaces.
키워드
Intuitionistic fuzzy 2-normed space; Fixed point; Hyers-Ulam stability; Quadratic functional equation; STABILITY; SUPERSTABILITY
- 제목
- A QUADRATIC FUNCTIONAL EQUATION IN INTUITIONISTIC FUZZY 2-BANACH SPACES
- 저자
- Movahednia, Ehsan; Gordji, Madjid Eshaghi; Park, Choonkil; Shin, Dong Yun
- 발행일
- 2016-10
- 유형
- Article
- 권
- 21
- 호
- 4
- 페이지
- 761 ~ 768