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Stability of an Additive-Quadratic Functional Equation in a Banach Spaceopen access

Authors
Donganont, SirilukPark, ChoonkilJun-on, NipaSuparatulatorn, Raweerote
Issue Date
Aug-2025
Publisher
Etamaths Publishing
Keywords
Hyers-Ulam stability; additive-quadratic functional equation; direct method; fixed point method
Citation
International Journal of Analysis and Applications, v.23, pp 1 - 13
Pages
13
Indexed
SCOPUS
ESCI
Journal Title
International Journal of Analysis and Applications
Volume
23
Start Page
1
End Page
13
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/208694
DOI
10.28924/2291-8639-23-2025-175
ISSN
2291-8639
2291-8639
Abstract
Using the direct and fixed point methods, we obtain the Hyers-Ulam stability of the following additive-quadratic functional equation: in a Banach space. 2h(p+q,r+s) +h(p +q,r-s) = 3 [h(p,r) +h(p,s) +h(q,r) +h(q,s)] (1)
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