Discontinue is a term used when something ceases to exist or stops functioning. Antonyms for the term involve words that refer to a continuous or ongoing activity. Some of the antonyms for discontinuation include continue, maintain, persist, resume, restart, and revive. Continue is a verb that means to carry on with an activity or process, maintain means to preserve or sustain something, persist refers to continuing despite difficulties, resume is a term used when starting again after an interruption, restart is when something is started again after a pause or delay, and revive refers to re-establishing something after it has been inactive or dormant.