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초록
In this paper, using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following additive-quadratic functional equation: af (x+y+z/b) + af (x-y+z/b) + af (x+y-z/b) + af (-x+y+z/b) = cf(x) + cf(y) + cf(z) where a, b and c are positive real numbers, in random normed spaces.
키워드
Hyers-Ulam stability; Direct method; Random normed space; Fixed point method; ULAM-RASSIAS STABILITY; MAPPINGS
- 제목
- Approximation of an additive-quadratic functional equation in RN-spaces
- 저자
- Kenary, Hassan Azadi; Jang, Sun-Young; Park, Choonkil
- 발행일
- 2012-11
- 유형
- Article
- 권
- 14
- 호
- 7
- 페이지
- 1190 ~ 1209