give up on (someone or something)

phrase

1

: to stop trying to improve the condition of (someone)

He has gotten in trouble many times, but his parents have never given up on him.

Please don't give up on me. I promise I'll do better.

2

: to stop having hope of seeing (someone)

We'd given up on you hours ago!

3

: to stop trying to do or achieve (something)

They have given up on their plan to build a new factory.

She hasn't given up on trying to convince her husband to buy a new car.