v. 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"

v. give up in the face of defeat of lacking hope; admit defeat; "In the second round, the challenger gave up"

v. give up or agree to forgo to the power or possession of another; "The last Taleban fighters finally surrendered"

v. 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"

v. lose (s.th.) or lose the right to (s.th.) by some error, offense, or crime; "you've forfeited your right to name your successor"; "forfeited property"

v. give up what is not strictly needed; "he asked if they could spare one of their horses to speed his journey"

v. leave (a job, post, or position) voluntarily; "She vacated the position when she got pregnant"; "The chairman resigned when he was found to have misappropriated funds"

v. allow the other (baseball) team to score; "give up a run"

v. put an end to a state or an activity; "Quit teasing your little brother"