With a Flash Player you can have two players in a web page. The easiest on to use and do that with is this hosted player, nothing to install, the configurator generates embed you copy to your web page. You will generate two and copy both to a web page
Flash does not run on iOS.
Here is a thread where users reported getting 4 streams working in the browser on iOS.
On Android, RTSP and Cupertino streams both open in a video player app outside of the browser. So for those protocols you will either have to write a custom Android app, or mux the streams using a transcoder as susta004 suggested. Flash can do it in browser on Android, but Flash has been dropped for Android 4.0 and above. I believe Adobe AIR is available for Android 4.0+ which may be a potential solution for you, but I don't have any more info on that at this time.