My software is not updating and installing

As the screen shot shows, you are no longer connected to the Internet.

See if anything here helps. 

Connect to Wi-Fi on your iPhone, iPad, or iPod touch

Troubleshooting Wi-Fi issues in IOS.    

Some things you can try. Do you have access to another WiFi network where you can try? That has worked for several people.

Try a restart.

Restart your iPhone, iPad, or iPod touch         

Try a forced restart.

Reset Device.      

If necessary

Hard reset.        

Do a backup and try a factory reset. Then restore from your backup.

Restore to Factory setting.      

Restore - If you see an error when you update or restore your iPhone, iPad, or iPod

Backup - Restore your device from an iCloud or iTunes backup.