Applications of Coupled Fixed Points for Multivalued Maps in the Equilibrium in Duopoly Markets and in Aquatic Ecosystems
Gana Gecheva, Miroslav Hristov, Diana Nedelcheva, Margarita Ruseva, Boyan Zlatanov
Abstract
We have obtained a new class of ordered pairs of multivalued maps that have pairs of coupled fixed points. We illustrate the main result with two examples that cover a wide range of models. We apply the main result in models in duopoly markets to get a market equilibrium and in aquatic ecosystems, also to get an equilibrium.
Topics & Concepts
DuopolyFixed pointCover (algebra)Class (philosophy)Range (aeronautics)EcosystemAquatic ecosystemEconomicsComputer scienceEcologyMathematical economicsMathematicsBiologyArtificial intelligenceMathematical analysisMaterials scienceCournot competitionComposite materialEngineeringMechanical engineeringFixed Point Theorems AnalysisOptimization and Variational AnalysisNonlinear Differential Equations Analysis