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math.OC2020
Directional necessary optimality conditions for bilevel programs
Kuang Bai, Jane Ye
The bilevel program is an optimization problem where the constraint involves solutions to a parametric optimization problem. It is well-known that the value function reformulation…
math.OC2019★ 4 cited
Constraint qualifications and optimality conditions in bilevel optimization
Jane J. Ye
In this paper we study constraint qualifications and optimality conditions for bilevel programming problems. We strive to derive checkable constraint qualifications in terms of pro…
math.OC2016
Necessary Optimality Conditions for Optimal Control Problems with Equilibrium Constraints
Lei Guo, Jane Ye
This paper introduces and studies the optimal control problem with equilibrium constraints (OCPEC). The OCPEC is an optimal control problem with a mixed state and control equilibri…