상세 보기
초록
In this paper, we prove a generalized fuzzy version of the Hyers-Ulam stability for the functional equations f (phi(X)) = phi(X) f (X) + psi(X)e and f (phi(X)) = phi(X) f (X) by using the direct method and the fixed point method, where X denotes an n-variable. Furthermore, we can apply the obtained results to some well-known functional equations such as gamma-function, beta-function, and G-function type's equations.
키워드
Fuzzy Banach space; Hyers-Ulam stability; Fixed point; Functional equation; ULAM-RASSIAS STABILITY; JORDAN ASTERISK-HOMOMORPHISMS; FIXED-POINT APPROACH; DERIVATIONS; ALGEBRAS; SUPERSTABILITY; INEQUALITIES
- 제목
- Fuzzy stability of functional equations in n-variable fuzzy Banach spaces
- 저자
- Shin, Dong Yun; Park, Choonkil; Aghjeubeh, Roghayeh Asadi; Farhadabadi, Shahrokh
- 발행일
- 2015-07
- 유형
- Article
- 권
- 19
- 호
- 1
- 페이지
- 186 ~ 196