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Quadratic ρ-functional equations in non-archimedean banach spaces

Authors
Park, Choon kilLu, GangCui, YinhuaFang, Ming
Issue Date
Apr-2018
Publisher
Eudoxus Press, LLC
Keywords
Hyers-Ulam stability; non-Archimedean normed space; quadratic ρfunctional equation
Citation
Journal of Computational Analysis and Applications, v.24, no.4, pp.752 - 759
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
24
Number
4
Start Page
752
End Page
759
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/150326
ISSN
1521-1398
Abstract
In this paper, we solve the quadratic ρ-functional equations (formula presented) where ρ is a fixed non-Archimedean number with |ρ| < |2|, and (formula presented) where ρ is a fixed non-Archimedean number with |ρ| < |2|. Furthermore, we prove the Hyers-Ulam stability of the quadratic ρ-functional equations (0.1) and (0.2) in non-Archimedean Banach spaces.
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