If your Fire TV Stick keeps restarting, there are a handful of ways to troubleshoot the problem. Start by checking how it's plugged into power and make sure it's running the latest software updates.
I built a computer with a 3500+ A64, gig of corsair, x800 pro and it worked fine for a few weeks. It was turned on for almost the whole time. Then there seemed to be a power supply issue or something ...