### Abstract

The main goal of this paper is the study of the generalized Hyers-Ulam stability of the following functional equation f (2x+y) +f (2x-y) + (n-1)(n-2)(n-3) f (y) = 2^{n-2} [f(x +y) +f (x-y) +6 f (x)] where n = 1,2,3,4, in non-Archimedean spaces, by using direct and fixed point methods.

Original language | English |
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Pages (from-to) | 301-307 |

Number of pages | 7 |

Journal | Iranian Journal of Science and Technology, Transaction A: Science |

Volume | 35 |

Issue number | 4 |

Publication status | Published - 2011 Dec 27 |

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### Keywords

- Hyers-Ulam stability
- Non-archimedean normed space
- P - adic field