The phrase "to fix an identity" means to establish or determine who a person is and how they are perceived by others. It refers to defining one's unique characteristics, personality, or role in society. Full definition
She also believes the artist's role in society is someone who facilitates collective creative potential and shared visions, and stimulates the imagination beyond the limit of fixed identities. (chicagoartistscoalition.org)
We can't fix our identity or our borders (borders are artificial, like borders between race and country), the only real border is our skin. (studiointernational.com)
Keep on the watch for accounts that aren't yours so that you can fix identity issues with your credit report. (creditcardsmarts.org)