Since Miners rewards is being cut half during the halving, do they still continue in the number they were before the halving?
As of now, they won't stop as they're on a situation that is in favor of them. And if they are going to stop, some big and stable mining pools are going to take advantage of the situation.
Regardless of the situation, there will always be new miners and the older ones will have to upgrade their equipment to cope up with the demand.
It's not an issue whether we go another halving again as the value in dollars will increase for Bitcoin.