Functional inequalities for generalized multi-quadratic mappings
Abasalt Bodaghi
Abstract
Abstract In this article, we introduce some special several variables mappings which are quadratic in each variable and show that such mappings can be defined as a single equation that is the generalized multi-quadratic functional equation. We also apply a fixed point theorem to establish the Hyers–Ulam stability for the generalized multi-quadratic functional equations. Furthermore, we present an example and a few corollaries corresponding to some known stability results.
Topics & Concepts
MathematicsQuadratic equationStability (learning theory)Functional equationApplied mathematicsVariable (mathematics)Fixed pointPure mathematicsInequalityPoint (geometry)Stability theoremMathematical analysisPartial differential equationComputer scienceCauchy distributionMachine learningGeometryFunctional Equations Stability Results