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초록
Using the fixed point method, we prove the Hyers-Ulam stability of the Cauchy-Jensen functional equation and of the Cauchy-Jensen functional inequality in fuzzy Banach *-algebras and in induced fuzzy C*-algebras. Furthermore, using the fixed point method, we prove the Hyers-Ulam stability of fuzzy *-derivations in fuzzy Banach *-algebras and in induced fuzzy C*-algebras.
키워드
Induced fuzzy C*-algebra; Fuzzy *-homomorphism; Fuzzy *-derivation; Fixed point; Hyers-Ulam stability; Cauchy-Jensen functional equation; Cauchy-Jensen functional inequality; FUNCTIONAL-EQUATIONS; STABILITY
- 제목
- Fuzzy *-homomorphisms and fuzzy *-derivations in induced fuzzy C*-algebras
- 저자
- Park, Choonkil; Lee, Jung Rye; Rassias, Themistocles M.; Saadati, Reza
- 발행일
- 2011-11
- 유형
- Article
- 권
- 54
- 호
- 9-10
- 페이지
- 2027 ~ 2039