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초록
Using the direct method and the fixed point method, we prove the Hyers-Ulam stability for the symmetric functional equation f(phi(1)(x,y,z)) = phi(2)(f(x), f(y), f(z)) in Banach spaces. As a consequence, we obtain some stability results in the sense of Hyers-Ulam-Rassias.
키워드
functional equation; Hyers-Ulam-Rassias stability; fixed point
- 제목
- HYERS-ULAM STABILITY OF A GENERAL DIAGONAL SYMMETRIC FUNCTIONAL EQUATION
- 저자
- Park, Choonkil; Rezaei, Hamid
- 발행일
- 2014-01
- 유형
- Article
- 권
- 16
- 호
- 1
- 페이지
- 42 ~ 49