"To Build a Fire" by Jack London is narrated in the third person and follows the story of a newcomer to the Yukon who decides to travel alone with a dog to visit another settlement. Although we do find out that an old-timer who had lived in the area and had more experience of it warned him not to make the journey, there really are no other characters in the story. Therefore there are no central interpersonal conflicts.
In the story, there are three major conflicts as the character struggles, unsuccessfully, to complete his journey. The first conflict is with the external environment, particularly the weather. The major enemy is the cold, which causes frostbite and eventually death.
The second conflict is internal, one of not succumbing to fear or inertia. Finally there is a struggle with the dog, who actually has much better instincts than the man himself.