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Non-Archimedean L-fuzzy normed spaces and stability of functional equations

Authors
Saadati, RezaPark, Choonkil
Issue Date
Oct-2010
Publisher
Pergamon Press Ltd.
Keywords
L-fuzzy metric and normed spaces; Intuitionistic fuzzy metric and normed spaces; Hyers-Ulam-Rassias stability; Quadratic functional equation; Non-Archimedean L-fuzzy normed space
Citation
Computers and Mathematics with Applications, v.60, no.8, pp 2488 - 2496
Pages
9
Indexed
SCI
SCIE
SCOPUS
Journal Title
Computers and Mathematics with Applications
Volume
60
Number
8
Start Page
2488
End Page
2496
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/173638
DOI
10.1016/j.camwa.2010.08.055
ISSN
0898-1221
1873-7668
Abstract
Lee et al. considered the following quadratic functional equation f(lx + y) + f(lx - y) = 2l(2)f(x) + 2f(y) and proved the Hyers-Ulam-Rassias stability of the above functional equation in classical Banach spaces. In this paper, we prove the Hyers-Ulam-Rassias stability of the above quadratic functional equation in non-Archimedean L-fuzzy normed spaces.
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