상세 보기
초록
In this paper, we investigate the Cauchy-Rassias stability in Banach spaces and also the Cauchy-Rassias stability using the alternative fixed point for the functional equation: f(sx + ty/2 + rz) + f(sx + ty/2 - rz) + f(sx-ty/2 + rz) + f(sx-ty/2 - rz) = s(2)f(x) + t(2)f(y) + 4r(2)f(z) for any fixed nonzero integers s, t, r with r not equal +/- 1.
키워드
Cauchy-Rassias stability; quadratic mapping; fixed point method; C-ASTERISK-ALGEBRA; BANACH MODULES; FUNCTIONAL-EQUATIONS; BEHAVIOR
- 제목
- A FIXED POINT APPROACH TO THE CAUCHY-RASSIAS STABILITY OF GENERAL JENSEN TYPE QUADRATIC-QUADRATIC MAPPINGS
- 저자
- Park, Choonkil; Gordji, M. Eshaghi; Khodaei, H.
- 발행일
- 2010-09
- 유형
- Article
- 저널명
- 대한수학회보
- 권
- 47
- 호
- 5
- 페이지
- 987 ~ 996