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). Copyright (C) 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.