학술저널
GENERALIZED CUBIC MAPPINGS OF r¡ TYPE IN SEVERAL VARIABLES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 20, No. 1
-
2007.0337 - 45 (9 pages)
- 0
Let X; Y be vector spaces. In this paper, we investigate the generalized Hyers-Ulam-Rassias stability problem for a cubic function f : X ! Y satis¯es r3f(Pn¡1j=1 xj + 2xnr) + r3f(Pn¡1j=1 xj ¡ 2xnr) + 8nX¡1j=1f(xj)= 2f(nX¡1j=1xj) + 4nX¡1j=1³f(xj + xn) + f(xj ¡ xn)´for all x1; ¢ ¢ ¢ ; xn 2 X :
1. Introduction
2. Generalized cubic mappings of r¡type in several variables
3. Hyers-Ulam-Rassias stability
References
(0)
(0)