Thanks Jamie,
1. By using authenticationmethod point a is working now for onpremise urls.
2. for flp urls this path is not working (https://utilproj-<tenant>.dispatcher.hana.ondemand.com/util/UserMapping.js)
3. used jquery.sap.require(), but with this path its working https://flpnwc-<tenanat>.dispatcher.hana.ondemand.com/sap/fiori/utilproj/util/UserMapping.js
Thanks,
Preethi.