When people comment on my post/photo/link/whatever, it's nice to get a notification, because they say something and it might be interesting to read or perhaps reply to it. But when people like my post, there is really no extra information there, except an increase in number of likes. The notification is just noise in my opinion. Can I stop notifications for all likes?
The answer would appear to be no.
Facebook Notifications Settings doesn't offer a way to turn off notifications for "likes". In fact, on Facebook itself, you can't even turn off "Activity that involves you".
You'll always get notifications about activity that involves you, like when someone tags you in a photo or comments on your post.
Email notifications are the only type of notifications where you can turn off notification for "likes".