Late-night talk show hosts have been known to have their rivalries. Jimmy Fallon acknowledged that there’s new competition in town Friday night, when he mentioned new “Late Late Show” host James Corden during his Thank You Notes segment on “The Tonight Show.”

“Thank you, new host of ‘The Late Late Show’ James Corden, for not going by Jimmy,” he said. “I already have enough trouble.”

Fallon — not to be confused with fellow late-night host Jimmy Kimmel, of “Jimmy Kimmel Live!” — also made sure to give due thanks to garage sales, acoustic guitars and adults on swingsets.