IPhone 6 won't upgrade apps?

I have tried signing out of the App Store, updating my phone since there's a software update which it gives me an error also, tried resetting the settings, turning off and on automatic updates, and shutting phone off I still can't update anything and I have not put any apps on my phone recently

Backup all your apps and use iTunes to do a factory reset. This will correct any corruption in the iOS software and allow the update to take place. Once that's done… Run a restore and all your apps and settings will be in the phone as before and with the new iOS version.

If that doesn't work, you might need to take it to the nearest Apple Store with a "Genius Bar" and let them take a looksee at it.