Definition of give up

• lose or lose the right to by some error, offense, or crime
• give up with the intent of never claiming again; "Abandon your life to God"; "She gave up her children to her ex-husband when she moved to Tahiti"; "We gave the drowning victim up for dead"
• stop maintaining or insisting on; of ideas or claims; "He abandoned the thought of asking for her hand in marriage"; "Both sides have to give up some claims in these negotiations"