Can I continue with a database transaction after a failed insert?

Can I continue with a database transaction after a failed insert?

References

Reference NO 1

http://stackoverflow.com/questions/13650604/can-i-continue-with-a-database-transaction-after-a-failed-insert

Reference NO 2

http://stackoverflow.com/questions/17168886/codeigniter-error-tracking-in-transaction

Reference NO 3

http://www.salesforce.com/us/developer/docs/apexcode/Content/langCon_apex_transaction_control.htm

Reference NO 4

http://docs.oracle.com/cd/E11882_01/server.112/e10713/transact.htm

Reference NO 5

http://www.stanford.edu/dept/itss/docs/oracle/10g/appdev.101/a42525/ch07.htm

Reference NO 6

http://technet.microsoft.com/en-us/library/jj856598.aspx

Reference NO 7

http://bytes.com/topic/db2/answers/185116-trigger-failure-cancels-calling-transaction

Reference NO 8

http://www.sqlite.org/howtocorrupt.html