to abandon an activity and concede failure

to discontinue (a habit)

to surrender (somebody or oneself) as a prisoner

to surrender (oneself or somebody else), esp as a prisoner

to desist from (something)

to renounce or cease

to abandon (oneself) to a particular feeling, influence, or activity

to declare (somebody) incurable or (something) insoluble

The doctors gave her up for dead

to stop having a relationship with (somebody)

to abandon an activity or course of action, esp to stop trying