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Quadratic-Quartic Functional Equations in RN-Spacesopen access

Authors
Gordji, M. EshaghiSavadkouhi, M. BavandPark, Choonkil
Issue Date
Dec-2009
Publisher
SPRINGER
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 14
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Start Page
1
End Page
14
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/175719
DOI
10.1155/2009/868423
ISSN
1025-5834
Abstract
We obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary t-norms f (2x + y) + f (2x - y) = 4 [f (x + y) + f(x-y)] + 2[f (2x) - 4f (x)] - 6f (y).
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