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Random Stability of an Additive-Quadratic-Quartic Functional Equation

Authors
Mohamadi, M.Cho, Y. J.Park, C.Vetro, P.Saadati, R.
Issue Date
Feb-2010
Publisher
Gordon and Breach Science Publishers
Citation
Journal of Inequalities and Applications, v.2010, pp 1 - 18
Pages
18
Indexed
SCIE
SCOPUS
Journal Title
Journal of Inequalities and Applications
Volume
2010
Start Page
1
End Page
18
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/193894
DOI
10.1155/2010/754210
ISSN
1025-5834
1029-242X
Abstract
Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f(x + 2y) + f (x - 2y) = 2f (x + y) + 2f (-x - y) + 2f (x - y) + 2f(y - x) - 4f(-x) - 2f(x) + f (2y) + f(-2y) - 4f(y) - 4f(-y) in complete random normed spaces.
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