“This is routine business, being handled in the normal manner,” The Times said in a statement.

The complaint was filed a day after The Times published its latest investigation into the film mogul Harvey Weinstein, the co-founder of the Weinstein Company who has been accused by dozens of women of sexual misconduct, including rape.

On Oct. 5, The Times first published the allegations against Mr. Weinstein. Three days later, the Weinstein Company, which includes his brother, Bob Weinstein, among its executive ranks, fired him. On Oct. 17, Harvey Weinstein resigned from the company’s board.

A spokesman for the Weinstein Company did not respond to requests for comment.

Since the allegations against Mr. Weinstein have emerged, the company has been trying to avoid bankruptcy. Colony Capital, the equity firm run by Thomas Barrack Jr., explored the idea of purchasing the Weinstein Company, only to have talks break down last month.

With the company in danger of bankruptcy, it sold North American distribution rights to “Paddington 2,” the sequel to its 2015 animated hit, to Warner Bros. for $32 million. The Weinstein Company made that deal last month and split the money with Studio Canal, the production company attached to the film, which is scheduled for release early next year.