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Fuzzy Hyers-Ulam stability of an additive functional equationopen access

Authors
Kenary, Hassan AzadiRezaei, HamidGhaffaripour, AnoshiravanTalebzadeh, SaedehPark, ChoonkilLee, Jung Rye
Issue Date
Dec-2011
Publisher
SPRINGEROPEN
Keywords
Hyers-Ulam stability; additive functional equation; fuzzy normed space
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 13
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Start Page
1
End Page
13
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/166927
DOI
10.1186/1029-242X-2011-140
ISSN
1025-5834
Abstract
In this paper, using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following additive functional equation 2f (x + y + z/2) = f (x) + f (y) + (z) (0.1) in fuzzy normed spaces.
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