Title : ( Stability of additive mappings in non-Archimedean fuzzy normed spaces )
Authors: Seyyed Alireza Kamel Mirmostafaee , Mohammad Sal Moslehian ,
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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.
Keywords
, Fuzzy stability; Cauchy equation; Jensen equation; Fuzzy norm; Non, Archimedean fuzzy normed space
@article{paperid:1009786,
author = {Kamel Mirmostafaee, Seyyed Alireza and Sal Moslehian, Mohammad},
title = {Stability of additive mappings in non-Archimedean fuzzy normed spaces},
journal = {Fuzzy Sets and Systems},
year = {2009},
volume = {160},
number = {11},
month = {April},
issn = {0165-0114},
pages = {1643--1652},
numpages = {9},
keywords = {Fuzzy stability; Cauchy equation; Jensen equation; Fuzzy norm; Non-Archimedean fuzzy normed space},
}
%0 Journal Article
%T Stability of additive mappings in non-Archimedean fuzzy normed spaces
%A Kamel Mirmostafaee, Seyyed Alireza
%A Sal Moslehian, Mohammad
%J Fuzzy Sets and Systems
%@ 0165-0114
%D 2009
