Early and classic (Japanese) RPGs had a top-down view, and were about one character, whom others joined, to accomplish a mission, visiting villages and defeating evil beings (Dragon Quest series). FPS games are more recent, in 3D graphics, where a character (whose arms you see only) proceeds from one stage to another shooting everything he encounters,bad humans or monsters (Doom series).
RPG: Role Playing Game
FPS: First Person Shooting
It could be a RPG what have FPS on it, and FPS game which have a RPG game play, is a mess.
I better go to play Super Mario Bros.