4 papers · 1 filter
Optimization with Parametric Variational Inequality Constraints on a Moving Set
Xiaojun Chen, Jin Zhang, Yixuan Zhang
This paper focuses on optimization problems constrained by Parametric Variational Inequalities (PVI) defined on a moving set. Unlike most existing works on mathematical programs wi…
Calm local optimality for nonconvex-nonconcave minimax problems
Xiaoxiao Ma, Wei Yao, Jane J. Ye +1
Nonconvex-nonconcave minimax problems have found numerous applications in various fields including machine learning. However, questions remain about what is a good surrogate for lo…
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…
Directional quasi/pseudo-normality as sufficient conditions for metric subregularity
Kuang Bai, Jane Ye, Jin Zhang
In this paper we study sufficient conditions for metric subregularity of a set-valued map which is the sum of a single-valued continuous map and a locally closed subset. First we d…