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At first we find the solution of the functional equation (1,…,)∶=∑=2(∑1=2∑+12=1+1⋯∑−+1=−+1)(∑=1,≠1,…,−+1−∑−+1=1)+(∑=1)−2−1(1)=0, where ≥2 is an integer number. Then, we obtain the generalized Hyers-Ulam-Rassias stability in random normed spaces via the fixed point method for the above functional equation

On the Stability of an -Variables Functional Equation in Random Normed Spaces via Fixed Point Method