상세 보기
초록
In this paper, we introduce the following useful functional equations: f(x + y) f(x - 2y) + f (y - x) = f(x), (0.1) f(Sigma(p)(i=1) x(i)/p - 1) + Sigma(p)(i=2) f (Sigma(p)(j=1j not equal 1) x(j) - px(i)/p - 1) + f(Sigma(p)(i=2) x(i)-x(1)/p - 1) = f(x(1)) (0.2) and prove the superstability and the Hyers-Ulam stability of (r,s,t)-J*-homomorphisms, associated with those, by using the fixed point method and the direct method.
키워드
Functional equation; (r, s, t)-J*-homomorphism; Hyers-Ulam stability; fixed point method; superstability; direct method; J-ASTERISK-HOMOMORPHISMS; ULAM-RASSIAS STABILITY; FUNCTIONAL-EQUATION; DERIVATIONS; ALGEBRAS
- 제목
- SUPERSTABILITY AND STABILITY OF (r, s, t)-J*-HOMOMORPHISMS: FIXED POINT AND DIRECT METHODS
- 저자
- Farhadabadi, Shahrokh; Park, Choonkil; Shin, Dong Yun
- 발행일
- 2016-01
- 유형
- Article
- 권
- 20
- 호
- 1
- 페이지
- 121 ~ 134