5 papers
Directional first order approach for a class of bilevel programs
Kuang Bai, Wei Yao, Jane J. Ye +1
In this paper, we study a class of bilevel optimization program, where the feasible set of the lower level program is independent of the upper level variable. For bilevel programs…
Sensitivity analysis of the maximal value function with applications in nonconvex minimax programs
L. Guo, J. J. Ye, J. Zhang
In this paper, we perform sensitivity analysis for the maximal value function which is the optimal value function for a parametric maximization problem. Our aim is to study various…
Combined approach with second-order optimality conditions for bilevel programming problems
Xiaoxiao Ma, Wei Yao, Jane J. Ye +1
In this paper, we propose a combined approach with second-order optimality conditions of the lower level problem to study constraint qualifications and optimality conditions for bi…
Generic property of the partial calmness condition for bilevel programming problems
Rongzhu Ke, Wei Yao, Jane J. Ye +1
The partial calmness for the bilevel programming problem (BLPP) is an important condition which ensures that a local optimal solution of BLPP is a local optimal solution of a parti…
Necessary Optimality Conditions and Exact Penalization for Non-Lipschitz Nonlinear Programs
Lei Guo, Jane J. Ye
When the objective function is not locally Lipschitz, constraint qualifications are no longer sufficient for Karush-Kuhn-Tucker (KKT) conditions to hold at a local minimizer, let a…