The enemies move when you move, so take one step at a time.
When you encounter enemies in the blue rooms, just try and go around them to avoid fighting (walk into them to hit). If you have to fight, don't worry to much because you regenerate some health after a few steps. If you seem stuck, walk against walls that are black, to see if there is an opening nearby.
It's best that you save after awhile, in-case you get trapped between enemies. And hey, you may get lucky like Drauka13 and I, having a set of stairs nearby when starting a new floor.