In 2008, Mardy Fish partnered with Williams to win the Hopman Cup prior to the Australian Open.
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The world number 14 withdrew from the Hopman Cup in Perth Thursday after suffering an injury to his right knee.
Meanwhile, Spain advanced to the Hopman Cup final with a 3-0 win over Australia in their Group A tie in Perth.
"I lost to (Tanasugarn) in the Hopman Cup two years ago but today I felt comfortable and I was dictating most of the points, " said Dokic.
In Sunday's action in the Hopman Cup , Tommy Robredo and Maria Jose Martinez Sanchez gave Spain a 3-0 win over the United States in Perth.
Murray has skipped the ATP event in Doha, where Roger Federer and Rafael Nadal are playing and where is was defending champion, to play in the Hopman Cup.
Robson, who turned 16 on 21 January, said she would send a 'good luck' message to her Hopman Cup team-mate Andy Murray before the men's final on Sunday.
At the Hopman Cup in Perth, Venus Williams continued her fine form as the United States beat France 2-1 for their second victory in the mixed team event.
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Robson began the year by playing alongside Andy Murray in the Hopman Cup in Perth, where she beat a top-30 player, Maria Jose Martinez Sanchez, for the first time.
World No. 1 Novak Djokovic will play in Saturday's final of the Hopman Cup teams event after he and Serbian playing partner Ana Ivanovic whitewashed Germany 3-0 in Perth on Friday.
Spain won the Hopman Cup for the third time, beating Great Britain 2-1 in the final in Australia as world No. 4 Murray was upset by 16th-ranked Tommy Robredo in the men's singles rubber.
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