Hi,
They are called corns. If you google for ' CORNS on feet ' you will get more details. They can be removed surgically, but sometimes they will reappear. They are extremely painful. Medicated Corn Caps are avilable for nonsurgical removal, but I have no idea of its effectiveness.
Solace
FYI - warts are actually a small infection of the human papillomavirus that your body is trying to fight off. It forms the wart to keep the virus contained and so it does not spread to any other part of your body. Eventually your body will fight it off and the wart will go away. Do not touch the wart if you have any scratches or cuts on your hands, as it's possible to spread them this way.