Almost multi-quadratic mappings in non-Archimedean spaces

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.

Keywords

• non-archimedean space
• hyers-ulam stability
• multi-quadratic mapping
• fixed point method