After the Better Together update (aka 1.2 for MCPE) just as RedstoneDemigod said the MCPE will be renamed to just _Minecraft_. This name will follow the bedrock engine, and as such be applied to the versions available at mobile phones, VR, Xbox One and Switch.
The PC version will be renamed to "Minecraft Java Edition", and will its own life. The console versions (by 4J studios) for playstation and Xbox is given a more uncertain faith. Sony has said that they don't want the bedrock edition, so those will most likely be updated. The Xbox will get the bedrock edition, so I'm _guessing_ it'll not having a lot of updates.
So to sum it up:
PC-edition -> Minecraft Java Edition, will be updated
Android, iOS, Xbox One, Switch, VR -> Minecraft, using the bedrock engine, still to be updated