I had this same problem, and managed to pass through it by furiously closing down those error windows manually during the upgrade process. It kept popping new ones up at least 50 times, and continued then normally. When all the packages were upgraded, it finally popped up an error saying that some steps were not done and "the system may be in unstable state", without giving any kind of guidance on what to do next.
Manual 'apt-get upgrade' or 'apt-get dist-upgrade' didn't give any errors or packages to upgrade, so I just rebooted. System seems to work normally after reboot. I had to manually run 'apt-get autoremove' to get rid of unused packages. # apt-get upgrade gconf2 Reading package lists... Done Building dependency tree Reading state information... Done gconf2 is already the newest version (3.2.6-3ubuntu6). Calculating upgrade... Done 0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded. -- You received this bug notification because you are a member of Ubuntu Touch seeded packages, which is subscribed to gconf in Ubuntu. https://bugs.launchpad.net/bugs/1551623 Title: package gconf2 3.2.6-3ubuntu6 failed to install/upgrade: dependency problems - leaving triggers unprocessed Status in gconf package in Ubuntu: Triaged Bug description: When upgrading from 15.10 to 16.04Beta (2016-03-01), this error occured, alongside many others related to systemd and gnome. Notice that despite all warnings and errors, finally, the system remained functional. ProblemType: Package DistroRelease: Ubuntu 16.04 Package: gconf2 3.2.6-3ubuntu6 ProcVersionSignature: Ubuntu 4.4.0-8.23-generic 4.4.2 Uname: Linux 4.4.0-8-generic x86_64 ApportVersion: 2.20-0ubuntu3 Architecture: amd64 Date: Tue Mar 1 09:21:15 2016 ErrorMessage: dependency problems - leaving triggers unprocessed InstallationDate: Installed on 2015-10-04 (148 days ago) InstallationMedia: Ubuntu 15.10 "Wily Werewolf" - Alpha amd64 (20151002) RelatedPackageVersions: dpkg 1.18.4ubuntu1 apt 1.2.3 SourcePackage: gconf Title: package gconf2 3.2.6-3ubuntu6 failed to install/upgrade: dependency problems - leaving triggers unprocessed UpgradeStatus: Upgraded to xenial on 2016-03-01 (0 days ago) To manage notifications about this bug go to: https://bugs.launchpad.net/ubuntu/+source/gconf/+bug/1551623/+subscriptions -- Mailing list: https://launchpad.net/~touch-packages Post to : touch-packages@lists.launchpad.net Unsubscribe : https://launchpad.net/~touch-packages More help : https://help.launchpad.net/ListHelp