Post-tensioning isn't a rival to prestressing — it's one of the two ways prestress force actually gets put into concrete. The other is pretensioning, done before the pour instead of after.
In the field, "prestressed concrete" often gets used loosely to mean the precast beams and planks that arrive on a truck already under compression, while "post-tensioned concrete" refers to the cast-in-place slabs and garages stressed on site — as if the two were separate systems. They're not. Both are prestressed concrete: concrete that has a deliberate internal compressive force built into it so that, once service loads are applied, the concrete stays mostly in compression instead of cracking under tension it can barely resist. The only real difference is when that force is applied relative to the concrete curing, and what that timing forces the mechanism to be.