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초록
Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of an additive functional equation, a quadratic functional equation, a cubic functional equation and a quartic functional equation in paranormed spaces. Furthermore, we prove the Hyers-Ulam stability of functional inequalities in paranormed spaces by using the fixed point method and the direct method.
키워드
Jordan-von Neumann functional equation; Hyers-Ulam stability; paranormed space; fixed point; functional equation; functional inequality; ULAM-RASSIAS STABILITY
- 제목
- Functional equations and inequalities in paranormed spaces
- 저자
- Park, Choonkil; Lee, Jung Rye
- 발행일
- 2013-04
- 유형
- Article
- 페이지
- 1 ~ 23