HONG KONG — A day after Hong Kong’s leader said she would withdraw the extradition bill that set off months of protests, she gave no sign on Thursday that more concessions would be forthcoming, even as dissatisfied protesters planned to hold more demonstrations.

The city’s chief executive, Carrie Lam, said she was optimistic that pulling the bill, along with other measures she offered on Wednesday, would help Hong Kong break its “impasse.” At a news conference, she called on peaceful demonstrators not to legitimize “the really violent protesters,” in what some saw as an attempt to divide the movement.

But there was little evidence that withdrawing the bill, which would have allowed extradition to mainland China, would satisfy even the more moderate demonstrators. Since the protests began in June, the demonstrators’ demands have broadened to include political reforms and an independent investigation of the police, whose use of violence in response to the protests has angered many in the city.

“I don’t accept this,” said Karen Poon, 31, a social worker who counts herself among the moderate demonstrators. “Anyone who has committed crimes, neglected their duty and abused their power throughout this incident should be punished by law, in order to uphold real justice.”