An apparent eruption of road rage outside a Montgomery County mall Thursday ended with two people hospitalized with knife wounds, authorities said.

Two cars were involved in the conflict, each with a young child inside. The children were not injured, Montgomery police said. A man and woman received serious injuries but were expected to survive, authorities said.

One of the drivers was taken into custody by police, and authorities said charges were pending. “The stabbings appeared to follow an incident of road rage,” said a law enforcement official who spoke on the condition of anonymity because the investigation was continuing.

About 2 p.m., officers were called to a parking lot outside the Westfield Montgomery Mall, which is near the Capital Beltway, police said. The initial investigation pieced together this sequence of events:

Two cars were at an intersection near the mall parking lots when the drivers had a disagreement over the right of way, said Lt. Oneil Ormsby of the county police.

One of the cars, a dark sedan, approached the mall and parked just outside a Sears store, he said. Four people were in the dark sedan: two women, a man and a young child.

The second car, a Mitsubishi, apparently followed the dark sedan, Ormsby said. A man and a young child were in the Mitsubishi, he said. “The dispute transferred to the parking lot,” he said.

At some point, the Mitsubishi driver and the man and one of the women in the dark sedan emerged from the vehicles, Ormsby said. He said the man and woman from the dark sedan were injured with a folding knife; one of the wounds was described as a stabbing and the other as a slashing.

Another vehicle was involved in the incident, tangentially, when the Mitsubishi apparently crashed into it, police said.

Montgomery paramedics treated the two victims and initially described the injuries as possibly life-threatening. But by 4:30 p.m., law enforcement officials were saying that the victims were expected to survive.

Police did not release the name of the suspect.

Ormsby stressed that motorists should not get out of their cars to argue with each other and that if they feel threatened, they should call for help. “If you have any concerns for your safety, call us at 911,” he said.