I don't advice you abuse this cuz facebook will warn you that you're spamming, but you can go to other fan pages, preferably related to your niche and like people's comment acting as your fan page. For example I named by fan page, "Why I like being positively brainwashed" so people will get a notification saying, "Why I like bing positively brainwashed has liked your comment." Depending on how catchy your fanpage title is, there's a good chance they will check it out. I also recommend you share a post from that fan page that you're liking people's comments, so when they check your fan page out, they can associate your fan page with a fan page they already like. I highly suggest you comment on these fan pages so it doesn't appear like you're spamming.
It's also possible people will check out your fan page, not like it, but like a post or two you made. If you click on the list of people who have liked that post, you'll see a button that allows you to invite anyone who hasn't liked your fan page yet (even if they're not your facebook friends!).