A Fixed Point Approach to the Stability of a General Mixed AQCQ-Functional Equation in Non-Archimedean Normed Spaces
oleh: Tian Zhou Xu, John Michael Rassias, Wan Xin Xu
| Format: | Article |
|---|---|
| Diterbitkan: | Hindawi Limited 2010-01-01 |
Deskripsi
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)=k2f(x+y)+k2f(x−y)+2(1−k2)f(x)+((k4−k2)/12)[f(2y)+f(−2y)−4f(y)−4f(−y)] for a fixed integer k with k≠0,±1 in non-Archimedean normed spaces.