I want to implement in my android application a functionality like when a user clicks a button in header a small list view is popup having 5 values in the corner of the screen.
It depends somewhat on the minimum SDK that you are targeting. If you are able to write your application with a minimum target of Android 3.0 (API Level 11), then there are at least two classes that you can use to accomplish creating a simple popup anchored to another view (in this case, your button):
Otherwise, you will need to do a little customization of PopupWindow, which is the class that many early QuickAction implementations are based on.
HTH