Actually that absolutely is one of the stated purposed of state justice. This also has the benefit of preventing private vendettas, if the victims feel the criminal has been punished enough.
In Europe, that is not true. The stated purpose of the justice system is that of deterrence. Exerting justice for the reason of revenge is nothing more than catering to the lower instincts of people and that is very much at odds with a civilized society. If you really believe that people are locked up so that the victims feel better, you have watched too many bad American TV dramas.
Well, it is widely documented in introductory criminal law courses as a part of the three Rs (removal, retribution, retaliation) or in more accessible material such as