Don't Try even to think that you can Bribe the Immigration ppl !!!!
see there some points you have to meet with to be able to invite your family to come over here , as Family Visa and you are their Sponsor , but if you can't due to Salary minimum limit or your sponsorship record ...etc
then you might apply for visit visa !
but believe me , thinking to bribe someone in for the visa will lead you to very unexpected way ! its not india !