Bath medicene cabinet light

[bgosh]

I have this light which has 3 20 amp  Halogen bulbs for light above a medicine cabinet and what happens is that it will shut off and then after a short period of time it will come back on. Does anyone know what could be going on with this and is it something that is not safe ? I should also say the bulb housing gets pretty hot and am wondering if this is normal for a Halogen light? Thanks Stan

[bgosh]

I have to amend my post as the bulbs are not 20amp halogen, they are 10amp Zenon, and yes I found that they do get pretty hot. Thanks Stan 

[Robert Adams]

The fixture is getting hot and the thermal switch is opening up when it gets too hot. It might be getting too hot but I have rarely run into that. Usually the thermal switch is bad in the fixture and tripping at too low of a temperature. Sometimes you can get away with replacing them with LED bulbs but I have seen some so bad that they still trip intermittently.

[daddo]

I'm sure you meant 10 watts, not 10 amps.

[bgosh]

Yes and Thank You. Stan