Metal Gear: Survive will be the first post Kojima exit Metal Gear game.
IGN has the announcement video that you can watch here for Metal Gear: Survive. More information is not available right now for this barring it being a 4 player co-op survival take on the Metal Gear formula. Survive is set in an alternate reality.
Metal Gear: Survive will be released in 2017 on PS4, Xbox One, and Steam.
Source: God is Geek