Applying tangential subdifferentials in bilevel optimization
Nazih Abderrazzak Gadhi, Mohamed Ohda · Optimization · 2023
The problem considered in this paper is a sequence of two optimization problems in which the feasible region of the upper-level optimization problem is determined implicitly by the solution set of the lower-level optimization problem. Using the optimal value reformulation, together with the partial calmness property, we give necessary optimality conditions in terms of tangential subdifferentials. An example that illustrates our finding is also given.