Plastic screw with ripped-off head stuck in the frame
As the comments have stated, here's your options:


Screw extractor: Inexpensive and easy to use.
Drill: Use successively larger drill bits until most of the screw is gone.
Drill and extract: Drill a spot large enough to put something in the middle and pull it out.
Screw/Nail Extract: Lightly tap a nail or smaller screw into it and then try to unscrew the stuck body. 
Melt it: Not really recommended but you could do it. Be prepared to retap the threads if things go awry.


Note, these are not in any order and some can be tried before others.