A person's initials are a kind of abbreviation, and these are usually followed by full stops: John D. Rockefeller, C. Aubrey Smith, O. J. Simpson. Increasingly, however, there is a tendency to write such initials without full stops: John D Rockefeller, C Aubrey Smith, O J Simpson.
What is the correct way to write initials?
If all the letters are the same size (also known as block), initials are ordered like your name: first, middle and last. If the monogram features a larger center initial, the ordering is always first name, last name, and middle name.
Do initials have a dot after?
Initials require no periods when someone has come to be known by initials alone (JFK, LBJ, etc.). Mary Jane is MJ. However, formal manuscripts probably need the periods. ... But if you're following Chicago, you also want a space between the initials: O. J.