Q:

Should we remind users with a link to their question?

What this question is about:
It occurred to me that even experienced users occasionally forget that they either: 

received viable answers to existing questions or 
need to edit existing questions to get more appropriate answers.

What this question is not about:

I'm not suggesting that we badger "or otherwise nudge" users into accepting answers to their questions, as per this discussion: Comments saying "thank you" remind OP to accept answer
I'm not duplicating the discussions about reminding/educating new users to accept answers to their questions, as discussed here: Remind new users to choose some answers? and elsewhere.

My personal rationale:
I suspect that OPs occasionally hesitate to accept an answer in hope that someone will later post a better answer even though there may already be acceptable answers provided. I know that I have done this in the past and then forgotten about my question, only to remember months or years later that I hadn't yet accepted a viable answer to my question.
For busy people, it's inconvenient to go through your activity history and find the question with the upvoted answer that still was never accepted. The inconvenience factor is enough of a deterrent that busy people don't always do it. 
My proposal:
For a question with unaccepted answers for over a year, could we please alert the OP with a link (this is the key feature) to their question with a suggestion to perhaps review their question to edit it if no acceptable answers have been provided (or something like that)?
Perhaps there could be other criteria to prevent obnoxious reminders, such as the question needing to have at least 3 suggested answers or that the suggested answers must have been upvoted at least 3 times or that the question has been upvoted at least once or something like that. 

A:

Notifications probably aren't going to fly (it's ok to not accept an answer), but there's a workaround for the problem you described.

For busy people, it's inconvenient to go through your activity history and find the question with the upvoted answer that still was never accepted. The inconvenience factor is enough of a deterrent that busy people don't always do it. 

If the motivation for your question is to make it easier to review/address these cases, I have good news for you: you can use search to find these.  Search for: user:me is:q answers:1 hasaccepted:no (replace "answers:1" with whatever threshold you like).  You can use created:..YYYY-MM-DD to restrict the search to questions asked before a certain date.  See the search help for more options.
This search returns all of your questions have have answers and no accepted answer.  Unfortunately, on-site search doesn't let you filter question searches by answer score, but you could use the Stack Exchange Data Explorer to write a SQL query to find those.
Eventually you might be able to use custom question filters to find these.  That still won't push out notifications, but it'd be more visible than search or a SEDE query.

