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초록
Using the fixed point method, we prove the Hyers-Ulam stability of the following generalized Jensen quadratic functional equation f (x + y/r + sz) + f (x + y/r - sz) + f (x - y/r + sz) + f (x - y/r - sz) = 4/r(2) f(x) + 4/r(2) f(y) + 4s(2) f (z) in fuzzy Banach spaces.
키워드
Hyers-Ulam stability; fuzzy Banach space; generalized Jensen functional equation; fixed point method; BANACH MODULES; SPACES; MAPPINGS; THEOREM
- 제목
- On the fuzzy stability of a generalized Jensen quadratic functional equation
- 저자
- Kenary, Hassan Azadi; Park, Choonkil; Lee, Sung Jin
- 발행일
- 2012-10
- 유형
- Article
- 권
- 14
- 호
- 6
- 페이지
- 1118 ~ 1129