The suspect surrendered to authorities after a standoff that lasted about two hours.
The suspect was not identified.
Police were searching the mall for a second unidentified suspect.
Upscale mall Chandler Fashion Center was evacuated shortly after noon when the shooting exchange occurred. Shoppers and employees were directed to wait outside while the situation unfolded. State police officers blocked access to the mall.
No injuries were reported.
The Associated Press contributed to this report.