Will Sram Force Shifters work with ?
 

I have a chance to buy some Sram doubletap Force 2x10 shifters for a reasonable price , but wil these work with Shimano 105 model 5600 2x10 derailleurs ? Thanks for the help

No. Or at least, not well for the rear, the front is probably fine.

+1, the Sram pull ratios are unique to Sram and no other brand RD will index properly. The front is a different story of the lever is a micro index vs. having
discrete clicks for the chainrings.

Nope, SRAM has a different cable pull per shift than Shimano. According to this article, you can combine SRAM / Campy 10 speed. Can you run Campy shifters with a SRAM drivetrain? Sure, why not? - VeloNews.com

Ok , thanks guys , I guess I better stick with the 105 shifters then