General Synonyms:
* Gave up
* Surrendered
* Abandoned
* Forfeited
* Released
* Let go of
* Ceded
* Transferred
* Discarded
More Formal Synonyms:
* Abdicated
* Renounced
* Resigned
* Deposited
Synonyms with Specific Connotations:
* Yielded (implies giving way to pressure or force)
* Sacrificed (implies giving up something valuable)
* Dismissed (implies rejecting or setting aside)
* Withdrew (implies moving away from something)
The best synonym for "relinquished" will depend on the specific situation and the nuances you want to convey.