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초록
Using the fixed point method, we prove the Hyers-Ulam stability of the orthogonally additive-quadratic functional equation 2f (x+y/2) + 2f (x-y/2) = 3/2 f(x) - 1/2 f(y) + 1/2f(-y) (0.1) for all x, y with x perpendicular to y, in non-Archimedean Banach spaces. Here perpendicular to is the orthogonality in the sense of Ratz.
키워드
Hyers-Ulam stability; orthogonally additive-quadratic functional equation; fixed point; non-Archimedean normed space; orthogonality space; NORMED SPACES; BANACH-SPACES; THEOREM
- 제목
- ORTHOGONAL STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN SPACES
- 저자
- Lee, Jung Rye; Park, Choonkil; Alaca, Cihangir; Shin, Dong Yun
- 발행일
- 2012-10
- 유형
- Article
- 권
- 14
- 호
- 6
- 페이지
- 1014 ~ 1025