Tyler Durden isn't a separate person. Tyler is the Narrator’s ID—the raw, unfiltered masculinity, rage, and creativity that the "IKEA man" suppressed. When the Narrator shoots a bullet through his own cheek to kill Tyler, he isn't just killing a villain. He is killing a part of himself.
When we meet the Narrator, he isn’t a person; he is a consumer. He has a condominium filled with Swedish furniture. He has a job calculating recall ratios for a car company. He has insomnia so severe that he has blurred the line between waking and dreaming.
That is the understatement of the century. The Narrator ends the story not as a hero, not as a villain, but as a man who finally knows his own name—even if he chooses to keep it a secret.