The general common wisdom is that none of the common self-defense calibers are guaranteed man-stoppers. This is why battle rifles used to come in calibers like 30-06, not .45 acp.
Shot placement is more important. Bad guys have been stopped with .380's and 9mm, and even smaller. But a peripheral hit with a .357 mag 158 grain wadcutter might not stop a determined or drugged attacker.
Hollow-points have their place in the scheme of things, but shot-placement is king. Shot-placement with a hollow-point is even better--less chance of perforating (shoot-thru) the bad guy that goes on and hits an innocent on the other side of the bad guy.
This is a rather complex subject, so get ready for a lot of reading.