Stability of a Mixed Type Additive, Quadratic and Cubic Functional Equation in Random Normed Spaces

Madjid Eshaghi Gordji, Meysam Bavand Savadkouhi

We obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary $t$-norms $f(x+3y)+f(x-3y)=9(f(x+y)+f(x-y))-16f(x)$.