That's definitely the right name for periodic reminders right. Years ago I wrote an API called remindme which was supposed to provide pings for when you were in proximity to a ___location and it would remind you if you needed to pay someone, buy something, do something, etc. Never went anywhere but totally unrelated to this.

The Quran itself is referred to as the reminder. Because it's supposed to remind us of why we're here, our purpose, who made us, and all that.