This may be more complex than it apears but...
If you just need the name of the current view, to display in the form for that view, I just usually type it in somewhere as a header. You could also set a field or expression box with the name.
If you wanted a field that always contained the current view, you would need to set this with the name of the view when you switch to that view. So each time you changed views you would need to update the field value via rules.
There is no built in function I know of, it would need to be managed manually.
Clay