Synonyms:
* Positive: Pamper, spoil, treat, gratify, satisfy, humor, cater to, give in to, give oneself over to
* Neutral: Allow, permit, yield to, give way to
Antonyms:
* Deny: Refuse, resist, forgo, abstain from, reject, suppress
* Control: Restrict, limit, discipline, restrain, moderate
The best synonym or antonym to use will depend on the specific context of your sentence.