After heavy rain and thunderstorms had caused the first day's play to be shortened by three hours at the Montgomerie Maxx Royal course in Antalya, the trio resumed their challenge on Friday and topped the leaderboard with opening rounds of 64.
Having resumed at four under, Stenson picked up where he had left off to take his place at the summit, rattling in four more birdies in the closing holes to move to eight under overall.
The Swede - who can wrap up the end-of-season Race to Dubai title with a victory this week, as long as closest challengers Justin Rose and Ian Poulter finish third or lower - was joined in setting the early pace by South African Fichardt and Dane Bjorn, with all three players facing a swift turnaround before starting their second rounds later on Friday.
World number one Tiger Woods, meanwhile, struggled to mount a challenge.
He completed his round with a two-under-par 70 to sit six shots back, while Poulter was just two shots behind the leading trio after a six-under 66.