Stability of additive mappings in non-Archimedean fuzzy normed spaces
نویسندگان
چکیده
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. © 2008 Elsevier B.V. All rights reserved. MSC: primary 54C30; secondary 39B22; 39B82; 46S10; 54C05; 54D30
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ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 160 شماره
صفحات -
تاریخ انتشار 2009