But there's another possible change at the drawing board stage that would probably rank as the second-most significant in terms of changing the Southwest Airlines culture. Now, Southwest is asking its most loyal customers how they'd feel about it before acting on it.

A hedge fund that's been urging Southwest Airlines to dump its CEO and chairman says it has acquired enough of the company's stock to call a special meeting of shareholders.

Elliott Investment Management is pushing for significant changes at Southwest Airlines including a new board to improve shareholder returns. Click for this LUV stock update.

An activist investor has continued pushing for a “comprehensive" review of Southwest Airlines' business while simultaneously building its stake in the carrier.