Difference between Give Up and Relinquish

GIVE UP vs RELINQUISH: VERB

To withdraw from; to leave behind; to desist from; to abandon; to quit.
To give up; to renounce a claim to; resign.
To cease holding physically; release.
To let go; surrender.
To put aside or desist from (something practiced, professed, or intended); stop doing or adhering to.
To give up or abandon (control of something or a claim, for example).

Lose (something) or lose the right to (something) by some error, offense, or crime
Admit defeat
Stop maintaining or insisting on
Of ideas or claims

To give up the possession or occupancy of; withdraw from; leave; abandon; quit.
To cease from; give up the pursuit or practice of; desist from: as, to relinquish bad habits.
To renounce a claim to; resign:-as, to relinquish a debt.
Give up
Turn away from

Forgo, Stop, Discontinue, Spare, Render, Free, Surrender, Give, Forfeit, Quit, Abandon, Renounce, Drop out, Throw in, Lay off

Resign, Vacate, Abandon, Abdicate, Cede, Dispense with, Give up, Free, Release, Foreswear, Forgo, Waive, Quit, Renounce, Surrender

Cease, Leave, Vacate, Stop, Spare, Render, Free, Surrender, Give, Forfeit, Quit, Abandon, Drop out, Throw in, Lay off

Give, Forego, Forfeit, Lose, Forsake, Leave, Resign, Vacate, Abandon, Give up, Free, Release, Waive, Quit, Surrender

Give Up Changes Made by Designated Give Ups to Affiliates and Back Office Agents.
Dribble, trickle, fall in quish, abandon, forswear, give up, give drops.
If we give up a right in one situation, we do not give up the same right in other situations.
If we give up any of our rights in one situation, we do not give up the same right in another situation.
Nothing save arches and if parents and teachers give up on there teens, they may feel even less motivated and give up on themselves.
Never give up: Sports teaches you to never give up.
No matter how you feel, get up, dress up, show up and never give up.
We give up, in a certain sense, we give up that classical notion of virtue.
If friends or family members want to give up, too, suggest to them that you give up together.
Give up privacy give up liberty and freedom.

It needs to relinquish its taste for idolatry.
Halifax EMC and relinquish rights to the scholarship.
"Families would not be obliged to relinquish tenure.
Auto speeds up battles but you relinquish control.
He was therefore forced to relinquish his plan.
It is time that you relinquish the power.
Qatar, one which it is unlikely to relinquish.
I doubt that we will relinquish massive denial.
Rather, just as I would that another, in such circumstances, should relinquish his right in my favor, even so should I relinquish my rights.
Troy vows to relinquish the life Their rivals generally refuse to relinquish their weapons, fearing that in a pinch the government will.