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초록
In this paper, we solve the additive functional inequality and the quadratic functional inequality in normed spaces.Moreover, we prove the Hyers-Ulam stability of the functional inequalities (1) and (2) in Banach spaces. Furthermore, we investigate the additive functional inequality in non-Archimedean normed spaces. Moreover, we prove the Hyers-Ulam stability of the functional inequalities (3) and (4) in non-Archimedean Banach spaces.
키워드
Banach space; Functional inequality; Hyers-ulam stability; Jordan-von neumann functional equation; Non-archimedean normed space
- 제목
- Additive and quadratic functional in equalities in non-archimedean normed spaces
- 저자
- Lee, Jung Rye; Park, Choon kil; Shin, Dong Yun
- 발행일
- 2014-08
- 유형
- Article
- 권
- 8
- 호
- 25-28
- 페이지
- 1233 ~ 1247