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A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equationopen access

Authors
Lee, Jung RyeKim, Ji-hyePark, Choonkil
Issue Date
Jan-2010
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Citation
FIXED POINT THEORY AND APPLICATIONS, v.2010, pp.1 - 16
Indexed
SCIE
SCOPUS
Journal Title
FIXED POINT THEORY AND APPLICATIONS
Volume
2010
Start Page
1
End Page
16
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/175568
DOI
10.1155/2010/185780
ISSN
1687-1820
Abstract
Copyright (C) 2010 Jung Rye Lee et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f (x + 2y) + f (x-2y) = 4f(x + y) +4f(x-y) - 6f (x) + f (2y) + f(-2y) -4f (y) - 4f(-y) in Banach spaces.
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