Ulam stability of functional equations in 2-Banach spaces via the fixed point method
Krzysztof Ciepliński
Abstract
Abstract Using the fixed point method, we prove the Ulam stability of two general functional equations in several variables in 2-Banach spaces. As corollaries from our main results, some outcomes on the stability of a few known equations being special cases of the considered ones will be presented. In particular, we extend several recent results on the Ulam stability of functional equations in 2-Banach spaces.
Topics & Concepts
MathematicsBanach spaceStability (learning theory)Fixed pointFixed-point theoremMathematical analysisFunctional equationPure mathematicsApplied mathematicsPoint (geometry)Differential equationComputer scienceGeometryMachine learningFunctional Equations Stability ResultsNumerical methods for differential equations