Polish third seed Agnieska Radwanska beat Jelena Jankovic of Serbia 6-3 6-3 on Tuesday to reach the quarter-finals of the BNP Paribas Open where she will face world number nine Petra Kvitova.

Radwanska, a runner-up here two years ago, defeated 2010 winner Jelena Jankovic of Serbia 6-3 6-3 in a fourth-round tilt between two of the game's best movers that produced a slew of entertaining exchanges.

"We've played so many good matches before, and I just remember that it's a lot of running, a lot of rallies and I really prepared for that today," said Radwanska, who has now won all six of her meetings with Jankovic on hard courts.

Two-time Wimbledon champion Kvitova ended the Cinderella run of American qualifier Nicole Gibbs, rallying for a 4-6 6-3 6-4 win to book her spot in the quarters.

Kvitova imposed her left-handed power to overtake Gibbs, swatting 27 winners to 11 for the American and claiming 18 of 25 points at net to prevail.

"It's always tough coming back after losing the first (set)," said the Czech, who has needed three sets in each of her three victories. "We both played really well in the third set so I was happy to get the win."

World number one Serena Williams, defending champion Simona Halep and ninth seed Roberta Vinci were all scheduled to play their fourth-round matches later on Tuesday.