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Fuzzy stability of functional equations in n-variable fuzzy Banach spaces

Authors
Shin, Dong YunPark, ChoonkilAghjeubeh, Roghayeh AsadiFarhadabadi, Shahrokh
Issue Date
Jul-2015
Publisher
Kluwer Academic Publishers
Keywords
Fuzzy Banach space; Hyers-Ulam stability; Fixed point; Functional equation
Citation
Journal of Computational Analysis and Applications, v.19, no.1, pp 186 - 196
Pages
11
Indexed
SCIE
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
19
Number
1
Start Page
186
End Page
196
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143426
ISSN
1521-1398
1572-9206
Abstract
In this paper, we prove a generalized fuzzy version of the Hyers-Ulam stability for the functional equations f (phi(X)) = phi(X) f (X) + psi(X)e and f (phi(X)) = phi(X) f (X) by using the direct method and the fixed point method, where X denotes an n-variable. Furthermore, we can apply the obtained results to some well-known functional equations such as gamma-function, beta-function, and G-function type's equations.
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