Abstract
We give a xed point approach to the generalized Hyers-Ulam stability of the cubic equation f(2x + y) + f(2x y) = 2f(x + y) + 2f(x y) + 12f(x) in non-Archimedean normed spaces. We will give an example to show that some known results in the stability of cubic functional equations in real normed spaces fail in non- Archimedean normed spaces. Finally, some applications of our results in non-Archimedean normed spaces over p-adic numbers will be exhibited.
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