to give up; to quit — deciding not to continue in a contest or difficult situation. Commonly used in katakana.
試合中にけがをして、彼はギブアップを宣言した。
He got injured during the match and declared that he would give up.
難しい問題を前にして、途中でギブアップしてしまった。
Facing a difficult problem, I gave up halfway through.
その交渉は折り合いがつかず、会社側がギブアップした。
The talks couldn't reach an agreement, and the company gave up.