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초록
In this paper, we define the following additive set-valued functional equation f(2x + 3y − z) + f(2y + 3z − x) + f(3x + 2z − y) = f(x + y) + f(y + z) + f(x + z) + f(2x) + f(2y) + f(2z) (1) and prove the Hyers-Ulam stability of the above additive set-valued functional equation.
키워드
Hyers-Ulam stability; additive set-valued functional equation; closed and convex subset; cone
- 제목
- Hyers-Ulam stability of an additive set-valued functional equation
- 저자
- Lu, Gang; Xie, Jun; Park, Choonkil; Jin, Yuanfeng
- 발행일
- 2018-03
- 유형
- Article
- 권
- 24
- 호
- 3
- 페이지
- 556 ~ 560