According to authorities in Arizona, a man who fatally shot another man inside of a suburban Phoenix Walmart on Sunday was acting in self-defense, the Washington Post reported.

Kyle Wayne Quadlin, 25, opened fire at Kriston Charles Belinte Chee, 36, following an argument at a service counter. Investigators who looked into surveillance footage from the incident said both men were fighting before the shooting occurred. 

Quadlin told cops he was trying to protect himself when he shot Belinte Chee.

"Mr. Quadlin was losing the fight and indicated he 'was in fear for his life,' so he pulled his gun and shot Mr. Belinte Chee," police said in a statement. 

Police added that Belinte Chee was rushed to the hospital where he was later pronounced dead. Both men did not know each other before the incident. 

After the shooting, Quadlin remained at the Walmart for a short while and then fled from the scene. Authorities were able to locate him after family members called police to report where he was. 

Though Quadlin has not been booked in the case, investigators will send their investigation for review by the Maricopa County Attorney's Office.

Dianna Gee, a spokeswoman for Walmart, said they are assisting police in any way possible and said their "thoughts and prayers are with all of those involved."

Walmart also plans to send crisis counselors to the store to meet with employees.