The main character in I, Robot is Dr. Susan Calvin. It also features Donovan and Powell. Elijah is from the robot trilogy, which happens centuries after I, Robot.

I would say the only thing the movie has in common with the book is that it mentions the book’s main character and the laws of robotics. The book is all about weird behavior of robots that actually obey the laws but the movie just treats them as some corporate doublespeak.