Resumen de Dynamics with Set-Valued Functions and Coselections

Javier Camargo, Sergio Macías

• We study dynamical systems with upper semicontinuous functions and coselections. We define the appropriate versions of dynamic properties on single-valued continuous functions to this setting. We show that some of the definitions given for upper semicontinuous functions resemble the ones for single-valued functions. We consider upper semicontinuous coselections and see their dynamical properties. We use a single-valued function f and compose it with a coselection Θ and define the set-valued function Θf, which we call a Θ-f-coselection. As particular cases of coselections, we use Jones’ set functions T and K and Bellamy’s set function Γ restricted to the hyperspace of singletons.