상세 보기
초록
Recently, Mohammadi et al. [24] proved the Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f (x + 2y) + f (x - 2y) = 2f (x + y) + 2f (-x - y) + 21 (x - y) + 2f (y - x) - 4f (-x) - 2f (x) + f (2y) + f (-2y) - 4f (y) - 4f (-y) in random normed spaces. In this paper, we prove the Hyers-Ulam stability of the above functional equation in non-Archimedean normed spaces.
키워드
Hyers-Ulam stability; non-Archimedean normed space; p-adic field; ULAM-RASSIAS STABILITY; C-ASTERISK-ALGEBRAS; MAPPINGS; SPACES
- 제목
- Non-Archimedean stability of an AQQ functional equation
- 저자
- Azadi-Kenary, Hassan; Lee, Jung Rye; Park, Choonkil
- 발행일
- 2012-02
- 유형
- Article
- 권
- 14
- 호
- 2
- 페이지
- 211 ~ 227