To 'yield to somebody' or something means to give in to someone or to agree to do something that you do not wish to do or should not do. This expression is used more in formal contexts and is similar in meaning to 'give in to'.

1. The college announced that work would begin on a new library, signalling their decision to yield to student demands.
2. After his latest scandal, the politician yielded to public pressure and resigned his post.
3. When John retired, he yielded control of the company to his son.