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

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).

Bibliographic Details
Main Authors: M. Eshaghi Gordji, M. B. Savadkouhi
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/527462