I have this problem in my shop primarily in the winter though it is the same phenomenon -- warm moist air on a cooler floor. Here in the PNW, we frequently get the "pineapple express" which are warm, heavily moisture-laden fronts that comes through repeatedly in the winter. This humid air condenses on the floor leaving it wet. You know it's condensation when it is limited to the floor surface.
Two things have completely cured this for me: first is a ceiling fan with air movement in the downward direction during the winter. The other is a humidistat-actuated exhaust fan that I built out of 6 inch round duct with an in-line duct fan. The intake end of the duct is about 1 inch off of the floor. It then exhausts about 3 feet up and through the exterior wall. Works great!
I set the humidistat after some trial and error and got it dialed-in in a week. When used in tandem with the ceiling fan, the floor stays dry, dry, dry.