Ok again this is not which company is better or who would win if all characters fought eachother. This is just if you put these 2 characters in a cage match where only one could leave who would be the victor.
Doomsday Vs. The Hulk
These two characters are very similar as far as ability and powers. I think though that Doomsday would win.
Doomsday:
Although he is not that well known he is one of the more prolific and scary comic villians. He is a creature who was created from an infant(he is a clone)that has evolved from being killed over and over again to become more resistant. He is a creature that becomes immune to whatever kills him before hand. He has very limited vital organs(eyes,brain,and nervous system) which are protected by bony spurs which also cover his hands, elbows, and knees to be used as weapons. He has an accelerated healing factor so good that he's been cut in his whole side by a plasma sword(used by superman) and it healed within moments. His genes have been spliced with supermans makin him genetically part kryptonian. He can also breathe fire and jump a distance of miles at a time. He has fought the justice league(with superman,and orion) being able to stand his ground almost effortlessly, and he's broken supermans arm easily and dominated Darkseid in physical combat.
Hulk:
Now we all know that Hulk is arguably the strongest marvel character. His power is pretty much limitless because the angrier he gets the stronger he gets. His healing/adaption factor is also dependant on his level of emotion in one situation he actually grew new tissue to allow him to breathe underwater. He can leap into earths lower orbit and can also survive sometime in space unprotected although he will have to breathe again at somepoint. He also has superhuman speed to match Thor's. He's survived nuclear explosions,planet splitting impacts,and inner solar temperatures,but even with all of that I don't think that he would be able to beat Doomsday seeing as how he really only has physical strength and no other powers where as Doomsday has withstood Darkseid's "Omega Effect" without any damage.
So there's my opinion and some facts about these two heavyweights let me know what you think in the comments
(I got pictures from google.com)