relinquishment vs renouncement

relinquishment and renouncement both are nouns.

Word	Noun	Adjective	Verb	Adverb
relinquishment	Yes	No	No	No
renouncement	Yes	No	No	No

As nouns, renouncement is a hypernym of relinquishment; that is, renouncement is a word with a broader meaning than relinquishment:

relinquishment: a verbal act of renouncing a claim or right or position etc.
renouncement: an act (spoken or written) declaring that something is surrendered or disowned

Other hypernyms of relinquishment include renunciation.

relinquishment (noun)	renouncement (noun)
the act of giving up and abandoning a struggle or task etc.	an act (spoken or written) declaring that something is surrendered or disowned
a verbal act of renouncing a claim or right or position etc.