try to uninstall it from terminal
sudo apt-get autoremove (app name)
and about this problem try to search in software sources may be you put repository broken or something like that and remove it from other software tab in software sources
and try this command may help you
sudo apt-get check
sudo apt-get update
sudo apt-get upgrade
sudo apt-get autoclean
sudo apt-get purge
and restart afte that try again
if not you can do that but i'm sure the won't help you but try it remove ubuntu software center by this command in terminal
sudo apt-get autoremove software-center
and return install it
sudo apt-get install software-center