Elliott Investment Management is taking its fight with Southwest Airlines to investors by calling for a special shareholder meeting where they can vote on new director candidates who would ultimately steer company strategy.

Activist investor Elliott Investment Management has called for a special meeting in December with shareholders of Southwest Airlines, a step towards a change that could oust the airline’s CEO Bob Jordan.

Elliott Management, which has been highly critical of Southwest in recent months, is pushing for leadership changes and an overhaul of the company's strategy. Southwest has responded by making some changes, but not enough to appease the fund, which is led by billionaire investor Paul Singer.