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Functional inequalities in non-Archimedean Banach spaces

Authors
Cho, Yeol JePark, ChoonkilSaadati, Reza
Issue Date
Oct-2010
Publisher
Pergamon Press Ltd.
Keywords
Non-Archimedean Banach space; Generalized Hyers-Ulam stability; Jordan-von Neumann functional equation; Functional inequality
Citation
Applied Mathematics Letters, v.23, no.10, pp 1238 - 1242
Pages
5
Indexed
SCI
SCIE
SCOPUS
Journal Title
Applied Mathematics Letters
Volume
23
Number
10
Start Page
1238
End Page
1242
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/173647
DOI
10.1016/j.aml.2010.06.005
ISSN
0893-9659
Abstract
In this work, we prove the generalized Hyers-Ulam stability of the following functional inequality: parallel to f(x) + f(y) + f(z)parallel to <= parallel to kf(x+y+z/k)parallel to, vertical bar k vertical bar < vertical bar 3 vertical bar, in non-Archimedean Banach spaces.
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