Almost multi-quadratic mappings in non-Archimedean spaces
Abasalt Bodaghi, Choonkil Park, Sungsik Yun
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.
Topics & Concepts
Quadratic equationMathematicsPoint (geometry)Stability (learning theory)Pure mathematicsFixed-point theoremStability theoremFixed pointApplied mathematicsMathematical analysisComputer scienceGeometryCauchy distributionMachine learningFunctional Equations Stability ResultsMathematical and Theoretical AnalysisNumerical methods for differential equations