科研之友
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摘要
Using the fixed point methods, we prove the generalized Hyers-Ulam stability of the general mixed additive-quadratic-cubic-quartic functional equation f(x + ky) + f(x - ky) = k(2)f(x + y) + k(2)f (x - y) + 2 (1 - k(2)) f (x) +((k(4) - k(2))/12 [f (2y) + f(-2y)-4f(-y)] for a fixed integer k with k not equal 0, +/- 1 in non- Archimedean normed spaces.
