I have a simple question because I want to optimize an objective function which is non-linear and convex but is limited by 3 non-linear constraints, two of them are convex but the last is concave. Does it mean that my optimization problem is convex or not? I found the definition which shows that the optimization problem is convex when the objective function and all constraints are convex. Moreover, I found a similar topic: Minimize convex function with concave equality contraint but for me is not clear.
Thanks for all answers.