No. 22 John Isner, the last American in the men’s draw, reached the Key Biscayne quarterfinals for the first time by outlasting No. 5 Milos Raonic in a serving duel, 6-7 (3), 7-6 (6), 7-6 (5). Isner, who has yet to be broken in three matches, next faces No. 4 Kei Nishikori, who beat No. 18 David Goffin 6-1, 6-2. Nishikori has lost 10 games in his three matches. Others advancing included unseeded Juan Monaco and No. 8 Tomas Berdych, who won when No. 17 Gael Monfils fell, hurt his right hip and retired in the second set. In other women’s play, No. 9 Andrea Petkovic swept No. 14 Karolina Pliskova 6-4, 6-2. Djokovic received a warning for ball abuse early, and when he netted a forehand to fall behind 5-4, he slammed his racket against the concrete to earn a second code violation. The crowd hooted as he walked to his chair, and Djokovic raised both arms in response. After the second set, trainer bandaged Dolgopolov’s soles. He moved poorly after that and won only three of 27 points.