Research article

Almost multi-quadratic mappings in non-Archimedean spaces

  • 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.

    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

    Related Papers:

  • 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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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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