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A fixed point approach to the stability of an AQCQ-functional equation in RN-spaces

Authors
Park, ChoonkilShin, Dong YunLee, Sungjin
Issue Date
2016
Publisher
INT SCIENTIFIC RESEARCH PUBLICATIONS
Keywords
Random normed space; fixed point; Hyers-Ulam stability; additive-quadratic-cubic-quartic functional equation
Citation
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v.9, no.4, pp.1787 - 1806
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
Volume
9
Number
4
Start Page
1787
End Page
1806
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/155505
DOI
10.22436/jnsa.009.04.34
ISSN
2008-1898
Abstract
Using the fixed point method, we prove the 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 random normed spaces.
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