There was a post similar to this a couple of weeks ago. The original poster was asking how to control weeds on his gravel and whether there were any home made remedies.
I decided I would do a little experimentation on whether any of the home remedies work.
Salt Water
This is supposed to kill plants. I took a big bag of dishwasher salt and put a lot of it in a 5 gallon bucket. Then in a watering can and watered all the weeds that grow along the edge of our drive.
1 Week later they are still there but seem off colour. They might die or they might recover. Dunno yet but it is not quick.
Piles of Salt
I tried putting small handfulls of the same salt as above sprinkled over individual weeds. This did work well and they have died off.

But it took a lot of salt and took a while to put the salt on the weeds.
Bleach
This kills plants of instantly. I did a very small area and they shrivelled up quickly. It might work well with salt water as well.
Vinegar
This does nothing. Even pure vinegar on a weed will not get rid of it. It just gets ill for a while and recovers. Useless
Hot Water
This didn't really work either. Nothing happened apart from the weed shrivelling up a bit and it was unconvenient to do.
Alcohol
This works well

I used some cleaning thing based on methanol and the weeds shrivelled right up.
Diesel
This works as well as alcaohol. Oil does the same. Gas didn't work so well, I think it evaporated.
You could try some bleach on your briars and they should go away
(But I didn't tell you to do that

)