Saravana,
Is the user authenticated with a client certificate, or do you user the F5 for SSL decprytion and encryption?
If you want the use the F5 to decrypt and encrypt traffic, you need a Standaard virtual server. See;
K12015: Configuration requirements for SSL virtual servers, profiles, pools, and monitors
If the client authenticates to the back-end server with a certificate and you get a invalid certificate (which is not strange with self-signed certificates), you can take a look at the root CA's on client and server.
Maybe you can give us more details about your setup?
Regards,
Martijn.