상세 보기
초록
Using the fixed point method, we prove the Hyers-Ulam stability of fuzzy double derivations and fuzzy Lie *-double derivations on fuzzy Banach algebras, fuzzy C*-algebras and fuzzy Lie C*-algebras associated with the following additive functional equation of n-Apollonius type Sigma(n)(i=1) f(z - x(i)) = -1/n Sigma(1 <= i < j <= n) f(x(i) + x(j)) + nf(z - 1/n(2) Sigma(n)(i=1)x(i)) for a fixed integer n with n >= 2.
키워드
*-double derivation; Double derivation; Fixed point method; Fuzzy banach *-algebra; Hyers-Ulam stability; Induced fuzzy lie C*-algebra; ULAM-RASSIAS STABILITY; C-ASTERISK; FUNCTIONAL-EQUATION; FIXED-POINTS; HOMOMORPHISMS; SUPERSTABILITY
- 제목
- Approximate fuzzy double derivations and fuzzy Lie *-double derivations
- 저자
- Ebadian, Ali; Abolfathi, Mohammad Ali; Park, Choonkil; Shin, Dong Yun
- 발행일
- 2015-10
- 유형
- Article
- 권
- 19
- 호
- 4
- 페이지
- 678 ~ 692