Google's John Mueller said on Twitter that if you have multiple title tags on the same page, it wouldn't make sense but it wouldn't cause problems for Google.
John wrote, "that wouldn't make sense for Google, probably wouldn't make sense for others either." Adding after he saw the example, "it doesn't cause any problems for us, so if you need to use it for something else, go for it!"
Here is the code example of multiple title tag usage:
Personally, I'd try my hardest to stick with a single title tag per web page.
Forum discussion at Twitter.