I am sending mails in bulk quantity with JavaMail to our existing and new users but if there is any error in the data like following:
Cp_Email.java javax.mail.internet.AddressException: Missing local name in string ``@lalanisteelusa.com''
Then it stops sending from onward that point. I am looking for advice that if any error happens in sending email then this mail address should be skipped and continue sending
Of course you will - the email address shown in your first post is invalid. What Rob showed you -and what you asked about- is how to catch the exception and continue processing. That should now be happening.