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FUZZY STABILITY OF A CUBIC-QUARTIC FUNCTIONAL EQUATION: A FIXED POINT APPROACHopen access

Authors
Jang, Sun-YoungPark, ChoonkilShin, Dong Yun
Issue Date
May-2011
Publisher
KOREAN MATHEMATICAL SOC
Keywords
fuzzy Banach space; fixed point; generalized Hyers-Ulam stability; quartic mapping; cubic mapping
Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.48, no.3, pp.491 - 503
Indexed
SCIE
SCOPUS
KCI
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Volume
48
Number
3
Start Page
491
End Page
503
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/168556
DOI
10.4134/BKMS.2011.48.3.491
ISSN
1015-8634
Abstract
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following cubic-quartic functional equation (0.1) f(2x + y) + f(2x - y) = 3f(x + y) + f(-x -y) + 3f(x - y) + f(y - x) + 18f(x) + 6f(-x) 3f(y) 3f(-y) in fuzzy Banach spaces.
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