What is the time complexity for solving a convex feasibility problem

Hi guys,

I have a question: What is the time complexity for solving a convex feasibility problem?
Specifically, my convex feasibility problem is expressed in this figure:

convexfeasibilityproblem1292×765 70.1 KB

Thanks!
Yvan

If no one answers here, perhaps post at https://math.stackexchange.com/ or https://or.stackexchange.com/ .

OK, I see. Thank you.