How is the GPU connected to the display? What cable?
To me the problem sounds like it could be caused by a bad cable or GPU.
How long have you had this problem? Did it occur on older Catalyst drivers?
The GPU is connected to the two displays using the HDMI port and the VGA port. The HDMI connection is running through a converter before leading into the monitor by a standard VGA cable.
This problem has been present since early September of 2015. Updates to the drivers result in the same update being present again, so I am assuming that the drivers are not updating.