Hi Adarsh,
As Kevin mentioned, SAP Fiori Client does not officially support PUSH.
However, you could do a workaround and recompile the SAP Fiori client as it is mentioned in the following post:
Getting Started with Kapsel - SAP Fiori Client (SP09+)
Take in account that this doesn't work with SMP SDK SP11.
Then, whenever you want to send a notification to the fiori app, you could call the SMP Endpoint available with your appid and send it a Push Notification:
Getting Started with Kapsel - Part 4 -- Push
You could call the endpoint from a REST Client, or from an ABAP program in a User-Exit in case you wish to send Push Notifications to the Fiori App when executing some particular action of an SAP R/3 transaction.
Hope this helps
Best Regards,
Emanuel