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초록
In this paper, we prove the Hyers-Ulam stability of the symmetric functional equation f (phi(1)(x, y)) = phi(2)(f (x), f (y)) in random normed spaces. As a consequence, we obtain some random stability results in the sense of Hyers-Ulam-Rassias.
키워드
Hyers-Ulam stability; general symmetric equation; random normed space; CAUCHY FUNCTIONAL-EQUATION; RANDOM NORMED SPACES; STABILITY
- 제목
- RANDOM APPROXIMATION OF A GENERAL SYMMETRIC EQUATION
- 저자
- Rezaei, Hamid; Park, Choonkil
- 발행일
- 2015-10
- 유형
- Article
- 저널명
- BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
- 권
- 41
- 호
- 5
- 페이지
- 1147 ~ 1159