Partial actions of groups on hyperspaces

[EN] Let X be a compact Hausdorff space. In this work we translate partial actions of X to partial actions on some hyperspaces determined by X, this gives an endofunctor 2- in the category of partial actions on compact Hausdorff spaces which generates a monad in this category. Moreover, structural relations between partial actions ? on X and partial determined by 2? as well as their corresponding globalizations are established.