relinquish vs abandon

relinquish is not a noun while abandon is a noun.

Word	Noun	Adjective	Verb	Adverb
relinquish	No	No	Yes	No
abandon	Yes	No	Yes	No

As verbs, abandon is a hypernym of relinquish; that is, abandon is a word with a broader meaning than relinquish:

Other hypernyms of relinquish include give up.

relinquish (noun)	abandon (noun)
	the trait of lacking restraint or control; reckless freedom from inhibition or worry
	a feeling of extreme emotional intensity

relinquish (verb)	abandon (verb)
release, as from one's grip	leave someone who needs or counts on you; leave in the lurch
turn away from; give up	stop maintaining or insisting on; of ideas or claims
part with a possession or right	leave behind empty; move out of
do without or cease to hold or adhere to	forsake, leave behind
	give up with the intent of never claiming again