In the video, which has gone viral on various social media platforms, the woman is seen confronting the duo and taking them to the police outpost at the airport.
The men were also seen apologising and touching the feet of the woman on her instructions, the police said, adding the incident occurred on Saturday midnight.
Sub-inspector at Rajiv Gandhi International Airport (RGIA) police station Ramesh Naik said the woman did not lodge any complaint against the duo, who later told the police that they were students.
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