NEW YORK — A number of major airlines rolled back a weekend fare increase Monday, the first time in more than half a dozen attempts that a widespread price hike failed to take hold across the struggling industry.

Carriers declined to say whether the shift signaled concerns about falling customer demand. Still, the decision served as a reminder that passengers — many reeling from financial worries of their own — may be nearing a tipping point in terms of how much they will pay to fly.

"This could be the first sign that demand is softening," said Graeme Wallace, chief technology officer of airfare research site FareCompare.com. "Up until now, the (airlines') statements have been that they expect demand to stay high."

AMR Corp.'s American Airlines launched the $20 roundtrip increases across much of its domestic network Saturday. That move was quickly matched by many of its closest competitors, including UAL Corp.'s United Airlines and Delta Air Lines Inc.

Continental Airlines Inc. was among the carriers that matched the increase over the weekend, but it rolled back the higher prices Monday morning, putting pressure on other carriers to do the same.

Spokeswoman Julie King said the Houston carrier rescinded the increase "for competitive reasons."

Carriers are prohibited from collectively agreeing to raise or lower fares, but nothing stops them from following a rival's lead. As a result, most major airlines tend to jockey for position when filing fares to a central booking system, which is updated three times daily.

Airlines have been scrambling to cut costs and increase revenue as jet fuel prices have soared by about 77 percent more than it did a year ago.

A number of airlines recently laid out sweeping plans to cut jobs, slash flights and ground dozens of less efficient planes. Carriers hope they can push fares even higher by reducing the number of available seats in the air.

The industry has been generally successful in raising prices and fuel surcharges in recent months.

Twelve out of 17 increases have taken hold since the start of the year, with six of the successful increases coming in just the last two months, according to a FareCompare tally.

Because the airline industry is so price-sensitive, carriers typically keep airfare increases in place only if competitors match the prices on the same routes. That has prompted airlines to look for other ways to boost revenue.

American, the biggest U.S. carrier, last month raised the stakes when it became the first major carrier to say it would start charging some fliers $15 to check the first bag. The Fort Worth, Texas-based airline also raised a number of other charges.

"Even when we raised fees a couple of weeks ago, we said that wasn't the only thing we were doing, that we would still be trying to recoup fuel costs through fare increases," spokesman Tim Wagner said. "The (fuel cost) increase is so incredible, we have to find a way to pass it on."

American's new baggage charge is scheduled to take effect on tickets bought on or after June 15. The carrier last week said the $15 fee would affect fewer than one in four customers this summer and won't lengthen lines at boarding gates.

Other major carriers, many of which already charge to check a second bag, have not said they will begin charging passengers to stow a first bag in the cargo hold, although they are not ruling it out either.

"We are still studying that very carefully," said Robin Urbanski, spokeswoman for Chicago-based United, the No. 2 U.S. carrier.

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Associated Press Writer Schuyler Dixon in Dallas contributed to this report.