Murray, the former world number one, served poorly during the match. He lost the third set but he paid the price for his slow start.
He reflected positively on his performance within the larger context of his injury troubles.
Andy Murray 'really proud' At U.S open
Murray is set to climb back up the rankings to number 50 with his win at the US Open. "Matches such as this make me proud.
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It's been six long years. It has been six years of difficult times for me. It has been very difficult.
"I hope that I can go further in the future, but looking back at [what] I've gone through, I was able to do all right. "