I just a quick question regarding Convex Optimization. Say I am solving the Multiple Variable problem. And it satisfies the following conditions, except for the last one highlighted ($f(x)$ is non-convex). I am wondering, if I solve the Lagrangian, and compares each critical points, am I guaranteed to find the optimum point on the Constrained optimization problem?
Do I also need the function and the domain to be convex???
