Hi Oyama,
Our Mobile Services documentation can be found here.
If I understand your question correctly, you'd like to send a push notification to a mobile device based on an action on your website. Is my understanding correct? If so, are you looking for information on Android, iOS, or both? Also, would the user be triggering this event on a mobile device inside a mobile browser or would the user be inside your app on a web view?
Thanks,
Jantzen