Almost multi-quadratic mappings in non-Archimedean spaces

Abasalt Bodaghi; Choonkil Park; Sungsik Yun; Abasalt Bodaghi; Choonkil Park; Sungsik Yun

doi:10.3934/math.2020336

AIMS Mathematics

2020, Volume 5, Issue 5: 5230-5239. doi: 10.3934/math.2020336

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Research article

Almost multi-quadratic mappings in non-Archimedean spaces

Abasalt Bodaghi ^{1
,
,},
Choonkil Park ^{2
,
,},
Sungsik Yun ^{3
,
,}

1.
Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran
2.
Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
3.
Department of Financial Mathematics, Hanshin University, Gyeonggi-do 18101, Korea

Received: 16 March 2020 Accepted: 08 June 2020 Published: 17 June 2020
MSC : 39B52, 39B82, 47H10

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.
- non-Archimedean space,
- Hyers-Ulam stability,
- multi-quadratic mapping,
- fixed point method
Citation: Abasalt Bodaghi, Choonkil Park, Sungsik Yun. Almost multi-quadratic mappings in non-Archimedean spaces[J]. AIMS Mathematics, 2020, 5(5): 5230-5239. doi: 10.3934/math.2020336

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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.

References

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