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Almost multi-quadratic mappings in non-Archimedean spacesopen access

Authors
Bodaghi, AbasaltPark, ChoonkilYun, Sungsik
Issue Date
2020
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Keywords
non-Archimedean space; Hyers-Ulam stability; multi-quadratic mapping; fixed point method
Citation
AIMS MATHEMATICS, v.5, no.5, pp.5230 - 5239
Indexed
SCIE
SCOPUS
Journal Title
AIMS MATHEMATICS
Volume
5
Number
5
Start Page
5230
End Page
5239
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/146508
DOI
10.3934/math.2020336
ISSN
2473-6988
Abstract
In this article, we introduce the generalized multi-quadratic mappings and then describe them as a equation. As a special case of such mappings, we study the Hyers-Ulam stability of multi-quadratic mappings in non-Archimedean spaces by applying a fixed point theorem. Moreover, we prove that such mappings can be hyperstable.
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