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An AQCQ-functional equation in matrix random normed spaces

Authors
Lee, Jung RyePark, ChoonkilRassias, Themistocles M.
Issue Date
Oct-2014
Publisher
Springer International Publishing
Keywords
Additivequadratic-cubic-quartic functional equation; Hyers?Ulam stability; Matrix random normed space
Citation
Springer Optimization and Its Applications, v.94, pp.523 - 540
Indexed
SCOPUS
Journal Title
Springer Optimization and Its Applications
Volume
94
Start Page
523
End Page
540
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/144502
DOI
10.1007/978-3-319-06554-0_22
ISSN
1931-6828
Abstract
In this paper, 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 matrix random normed spaces.
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