Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 527462, 9 pages
doi:10.1155/2009/527462
Research Article

Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces

M. Eshaghi Gordji and M. B. Savadkouhi

Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

Received 22 June 2009; Accepted 5 August 2009

Academic Editor: Patricia J. Y. Wong

Copyright © 2009 M. Eshaghi Gordji and M. B. Savadkouhi. 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 obtain the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary t-norms f(x+2y)+f(x−2y)=4[f(x+y)+f(x−y)]−24f(y)−6f(x)+3f(2y).