Actually all the James Bond movie from Sean Connery to Timothy Dalton are based on Fleming's novels and the ones with Pierce Brosnan were created to be sequels of the previous ones, so all of them are about the same James Bond. The only actual reboot of the character happened with Daniel Craig, because they wanted a younger James Bond, in fact the first movie with Daniel Craig is "Casino Royale" the adaptation of the first mission of James like 007; mission told by Fleming in the homonym novel.