Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 328473, 16 pages
doi:10.1155/2010/328473
Research Article
On the Stability of a General Mixed Additive-Cubic Functional Equation in Random Normed Spaces
1Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China
2Pedagogical Department E.E., Section of Mathematics and Informatics, National and Kapodistrian University of Athens, 4, Agamemnonos Str., Aghia Paraskevi, 15342 Athens, Greece
3School of Communication and Information Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
Received 6 June 2010; Revised 1 August 2010; Accepted 23 August 2010
Academic Editor: Radu Precup
Copyright © 2010 Tian Zhou Xu et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We prove the generalized Hyers-Ulam stability of the following additive-cubic equation f(kx+y)+f(kx−y)=kf(x+y)+kf(x−y)+2f(kx)−2kf(x) in the setting of random normed spaces.