relinquishing vs waiver

relinquishing and waiver both are nouns.

Word	Noun	Adjective	Verb	Adverb
relinquishing	Yes	No	No	No
waiver	Yes	No	No	No

As nouns, waiver is a hyponym of relinquishing; that is, waiver is a word with a more specific, narrower meaning than relinquishing:

Other hyponyms of relinquishing include ceding, cession, handover, discharge, release.

relinquishing (noun)	waiver (noun)
the act of giving up and abandoning a struggle or task etc.	a formal written statement of relinquishment
a verbal act of renouncing a claim or right or position etc.