I am currently working on creating a module that will allow for both receiving and sending of push notifications on both ios and android.
I am trying to get it tested and working on android currently.
Once finished I will be able to write up some documentation on how to implement it, as it isn't that easy to get setup, as Apple require you to gain several certificates in order to be able to send or receive push notifications.
I will do my best to get it out to the appstore ASAP.
Here is the github repository for the Push Notifications. It will soon also be available on the appstore. https://github.com/mendix/MxPushNotifications
If you have any issues or questions please raise an issue via github.