Andy Murray was too good for James Duckworth in the Brisbane International first round.
While the next generation makes progress, Novak Djokovic feels the 'Big Four' are still set to dominate grand slams.
World number five Juan Martin del Potro will not be ready to make his comeback in the first major of the year in Melbourne.
Tomas Berdych was back in business in Doha after over six months out with a back injury, while Steve Darcis also made a winning return.
Australian wildcard Kimberly Birrell upset Daria Kasatkina in her homeland, while Karolina Pliskova ended 2018 with a victory.
Andy Murray could not wait to see the back of 2018 as he prepared for his comeback at the Brisbane International.
Yoshihito Nishioka was no match for Grigor Dimitrov in round one of the ATP Brisbane International.
Maria Sharapova will take on teenager Wang Xinyu in the second round in Shenzhen after seeing off Timea Bacsinszky.
There was a singles win for Serena Williams in Perth, but Greece nevertheless got the better of the United States at the Hopman Cup.
Having arrived for the Brisbane International ahead of the Australian Open, Rafael Nadal is ready to put his injury woes behind him.