| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 390600 | Fuzzy Sets and Systems | 2009 | 10 Pages |
Abstract
In this paper we introduce a notion of a non-Archimedean fuzzy norm and study the stability of the Cauchy equation in the context of non-Archimedean fuzzy spaces in the spirit of Hyers–Ulam–Rassias–Găvruţa. As a corollary, the stability of the Jensen equation is established. We indeed present an interdisciplinary relation between the theory of fuzzy spaces, the theory of non-Archimedean spaces and the theory of functional equations.
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