US Airways has the most to lose, but others will also be affected.
US Airways is meeting with its other unions this week.
US Airways also has problems beyond those of its rivals.
US Airways also said it would lay off 11,000 workers, or nearly a quarter of its staff.
US Airways then asked the union's leadership to review its latest offer.
US Airways has filed twice in the same number of years.
US Airways would also need the support of its creditors.
US Airways had sought cuts of 23 percent for six months.
US Airways has said it does not expect to turn a profit this year or next.
US Airways has since increased its demand to $950 million in cuts.