Assuming these are the bikes (sorry, I can't read Czech).
http://www.bikepedia.com/quickbike/BikeSpecs.aspx?Year=2010&Brand=Schwinn&Model=Searcher+Comp&Type=bike
http://www.bikepedia.com/quickbike/BikeSpecs.aspx?Year=2010&Brand=GT&Model=Transeo+2.0+Disc&Type=bike
http://www.evanscycles.com/products/mongoose/crossway-450-disc-2010-hybrid-bike-ec020875
They all seem very similar - they're hybrid bikes with front suspension, aluminium frames and disk brakes built to a low price point. That and your comments make me believe that your "path" comment refers to sealed bike paths rather than mountain bike tracks. The GT has hydraulic brakes, the other two mechanical. On a cheap bike I favour mechanical brakes because hydraulic brakes are hard (expensive) to build well, and they're also expensive to maintain. But the GT is also 50% more expensive, so if you can get it for a similar price it is probably a bargain.
I suggest that the only way to pick one over the others is to test ride all three. If you can't do that it's guesswork - pick the colour you like or just buy the cheapest one.