Before the launch of Bedrock edition wich unified all non java versions of the game under a single one done on their bedrock engine to streamline updates and liberate them for all plataforns at the same time (except PS3/4 because sony was being sony and didin't have their version updated to the bedrock), it was Minecraft PE, after the Bedrock update this version becomes obsolete and got substituted by the new app wich has only minecraft on the name, but it was quite some time already.That's the iOS version of Minecraft. PE is Pocket Edition. I don't think there is a Java version of Minecraft on iOS.
EDIT - I just installed Minecraft on my iPhone. It looks like I was wrong. I did not get PE. If I were you, I'd delete it and then reinstall.