A:Answer Tip for the future, people don't usually even bother reading questions typed in all caps, let alone answering them. I don't mind this, but just wanted to give a pro-tip for the future as it will be helpful to you.
Anyways, to answer you actual question, PS VR has over 200 or so games being developed for it, and many more will most likely be developed soon enough. Especially if it sells well like it seems it is doing, with pre-orders selling out almost immediately.
For a list of games, there are various websites that will help you with that. Here is one of said lists: http://www.ign.com/wikis/playstation-4/List_of_PS4_Games_Compatible_With_PlayStation_VR
As a side note, I am fairly certain that you can play every Playstation game with the VR headset, but that doesn't necessarily mean you can play those games in 3D. The PS VR just has a mode that lets you view all images/ videos on it.
A more specific answer to your question, certain games such as the newer Star Wars Battlefront, (a first and third person shooter,) are going to be made to work with PS VR in 3D. So for games that already exist, it just depends on the developers and their willingness to translate their games into 3D.
Tl;Dr: Yes, there will most certainly be FPS games, at least, on the PS VR. Star Wars Battlefront is not even the only one announced already either.