|Title||SHADOWING PROPERTY FOR INDUCED SET-VALUED DYNAMICAL SYSTEMS OF SOME EXPANSIVE MAPS|
|Publication Type||Journal Article|
|Year of Publication||2010|
|Authors||WU YUHU, XUE XIAOPING|
|Journal||Dynamic Systems and Applications|
|AMS Subject Classification||28B20, 37C15, 37F15|
In this paper, we study the shadowing property for induced set-valued dynamical systems of some expansive maps. We show that if f is a positively expansive open map, then the induced map F has shadowing property. We introduce the notion of ball expansive maps, and show that such maps have shadowing property.