Detectives are trying to sort out the motive and who is responsible.
Officers were first called to the 600 block of East Wishart Street just after a.m.
When they arrived, officers found one man shot in the back.
He was alert and talking, and is now in stable condition at the hospital.
While investigating that scene, police learned two other men showed up at the hospital on their own.
A 19-year-old and a 26-year-old, both shot in the arm, are also both in stable condition, according to police.
Authorities have not announced any suspects or arrests.