relinquish vs give up

relinquish and give up both are verbs.

Word	Noun	Adjective	Verb	Adverb
relinquish	No	No	Yes	No
give up	No	No	Yes	No

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

Other hypernyms of relinquish include abandon.

As verbs, relinquish and give up are synonyms defined as:

Other synonyms of relinquish include free, release, resign.

As verbs, give up is a hyponym of relinquish; that is, give up is a word with a more specific, narrower meaning than relinquish:

Other hyponyms of relinquish include kick.

relinquish (verb)	give up (verb)
release, as from one's grip	stop maintaining or insisting on; of ideas or claims
turn away from; give up	give up in the face of defeat of lacking hope; admit defeat
part with a possession or right	give up or agree to forgo to the power or possession of another
do without or cease to hold or adhere to	stop consuming
	give up with the intent of never claiming again
	relinquish possession or control over
	lose (something) or lose the right to (something) by some error, offense, or crime
	part with a possession or right
	give up what is not strictly needed
	allow the other (baseball) team to score
	leave (a job, post, or position) voluntarily
	put an end to a state or an activity