They're also called "tanning lamps". Here's the Google image page I found for that.
The larger ones which you lie in/on are called "sunbeds" but the smaller ones are called "sun lamps". The first three pictures here are sunlamps.
I am using a skin lightener and one of the warnings is to avoid sunlamps. I don't know what a sunlamp is.
A Google image shows table lamps and small yellow lamps like the ones we usually put outdoors.
I'm no doctor, but I suggest you avoid the sun, too. If you are lightening your skin, you'll probably have less protection against ultra-violet light.