No Retreat No Surrender in Chinese / Japanese...

義無反顧 is a Chinese proverb that can be translated in a few different ways. Here are some examples:

Honor does not allow one to glance back.
Duty-bound not to turn back.
No surrender.
To pursue justice with no second thoughts.
Never surrender your principles.

This proverb is about the courage to do what is right without questioning your decision to take the right and just course.

寧死不屈 is often translated as “Death Before Dishonor.”

The literal translation is more like, “Better die than compromise.” The last two characters mean “not to bend” or “not to bow down.” Some might even say that it means “not to surrender.” Thus, you could say this proverb means “Better to die than live on my knees” or simply “no surrender” (with the real idea being that you would rather die than surrender).

寧死不降 is an ancient Chinese proverb that can be translated as “Rather die than surrender,” “Prefer death over surrender,” “To prefer death to surrender,” or simply “No surrender.”

This is probably the closest proverb to the English proverb “Better to die on your feet than to live on your knees.”

This ancient Japanese proverb can be translated as “The principle of honorable death and no surrender,” or simply “No surrender.”

If you directly translate this, you get something that means “Doctrine of suicide,” or “Ideology of honorable death.”

玉砕主義 is a specifically-Japanese proverb that embraces the long history of honorable suicide or self-sacrifice for honor in Japanese culture.