give up vs relinquish

give up and relinquish both are verbs.

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

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

Other hypernyms of give up include dispense with, forego, foreswear, forgo, waive.

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

Other hyponyms of give up include foreswear, quit, renounce.

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

Other synonyms of give up include free, release, resign.

give up (verb)	relinquish (verb)
stop maintaining or insisting on; of ideas or claims	release, as from one's grip
give up in the face of defeat of lacking hope; admit defeat	turn away from; give up
give up or agree to forgo to the power or possession of another	part with a possession or right
stop consuming	do without or cease to hold or adhere to
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