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초록
In [32, 33], the fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated. Using the fixed point method, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + f(2y) + f(-2y) - 4f(y) - 4f(-y) (1) in fuzzy Banach spaces.
키워드
fuzzy Banach space; fuzzy random variable; fixed point; Hyers-Ulam stability; additive-quadratic-cubic-quartic functional equation
- 제목
- A Fixed Point Approach to the Fuzzy Stability of an AQCQ-Functional Equation
- 저자
- Park, Choonkil; Shin, Dong Yun; Saadati, Reza; Lee, Jung Rye
- 발행일
- 2016-00
- 유형
- Article; Proceedings Paper
- 저널명
- Filomat
- 권
- 30
- 호
- 7
- 페이지
- 1833 ~ 1851