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초록
In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces.
키워드
Jordan-von Neumann functional equation; non-Archimedean normed space; Banach space; Hyers-Ulam stability; functional inequality; STABILITY; EQUATIONS; HYERS
- 제목
- Functional inequalities in non-Archimedean normed spaces
- 저자
- Park, Choonkil
- 발행일
- 2015-03
- 유형
- Article
- 권
- 31
- 호
- 3
- 페이지
- 353 ~ 366