First of all, don't worry, it happens to all of us. Whether they wore your favorite shirt without asking or you are having major clashes in your senses of morality, it happens to the best (and worst) of us. Now every situation is different and you can't treat each fight the same, but here are a few things that you could do in order to get over this bump in your friendship.
If you've gone through all of these and none of the techniques work for you or your friend, maybe it's time to let them go. Don't try to hold onto something that is so obviously doomed. Not all friends come and go, but not all friends last forever, either. Just let them go.