Meaning

• To surrender (someone or something)

  "He was surrounded, so gave himself up."

• To stop or quit (an activity, etc.)

  "They gave up the search when it got dark."

• To relinquish (something)

  "He gave up his seat to an old man."

• To lose hope concerning (someone or something)

  "They gave him up for dead."

• To abandon (someone or something)

  "I gave up my faith years ago."

• To admit defeat, capitulate

  "OK, I give up, you win."

• Become fully took over by a certain quality, activity, trait, &c.