different name in visa and petition, will it be a problem for an h1b transfer?

My name as per passport if Name: RAHUL KUMAR, Surname: blank.

Accidentally the H1B petition has the name splitted as first name : RAHUL last name : Kumar.

I got my visa with first name: FNU, Last name: RAHUL KUMAR and landed in the US. the other US documents like pay-stub, bank account, SSN has the same name as in my visa.

I am going for an H1B transfer to another company, will there be any problems ? what should be the name in the new petition ?

that must not be a problem, correct it while transfer

Thanks for letting me know, its a great help.