Can't update iTunes on PC despite internet connection

For general advice see Troubleshooting issues with iTunes for Windows updates.

The steps in the second box are a guide to removing everything related to iTunes and then rebuilding it which is often a good starting point unless the symptoms indicate a more specific approach. When reinstalling right click on the downloaded setup file and use run as administrator. It may also help to temporarily disable any non-Microsoft anti-virus.

Review the other boxes and the list of support documents further down the page in case one of them applies.

The further information area has direct links to the current and recent builds in case you have problems downloading, or want to revert to an older version if the current one won't work properly for you at the moment. Links to the most recent builds are now at the bottom of the page.

Your library and device backups should be unaffected by these steps but there are links to backup and recovery advice should it be needed.

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See if this helps: iTunes - Upgrade to Get iTunes Now - Apple

Note: You need to have Internet connection to download.

King_of_Luddites wrote:

... I understand that apple had decided to discontinue iTunes, ...

No, it has not.

iTunes on the Mac operating system is to be separated into three distinct functions if the user updates to the next version of Mac OS. Those users will still be able to access their music.

There has been no announcement about iTunes for Windows, so for the foreseeable future, for anyone using Windows OS, there is no change to the way iTunes works.