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초록
The aim of this paper is to investigate Hyers-Ulam stability of the following lattice preserving functional equation on Riesz space with fixed point method: parallel to F(tau x boolean OR eta y) - tau F(x) boolean OR eta F(y)parallel to <= phi (tau x boolean OR eta y, tau X Lambda eta y), where chi is a Banach lattice and phi : chi x chi -> chi is a mapping such that phi(x,y) <= (tau eta)(alpha/2) phi (x/tau, y/eta) for all tau, eta >= 1 and alpha is an element of [0,1/2).
키워드
Hyers-Ulam stability; Riesz space; fixed point theory; SUPERSTABILITY
- 제목
- STABILITY OF A LATTICE PRESERVING FUNCTIONAL EQUATION ON RIESZ SPACE: FIXED POINT ALTERNATIVE
- 저자
- Movahednia, Ehsan; Mosadegh, Seyed Mohammad Sadegh Modarres; Park, Choonkil; Shin, Dong Yun
- 발행일
- 2016-07
- 유형
- Article
- 권
- 21
- 호
- 1
- 페이지
- 83 ~ 89