3 papers
math.OC2026
Primal-Dual Halpern-PAGE Algorithm for Constrained Stochastic Weakly Convex Optimization
Lixin Tang, Xingyu Wang, Liwei Zhang
We tackle the challenging problem of stochastic weakly convex optimization subject to mixed (equality and inequality) expected-value constraints. While optimal $\mathcal{O}(ε^{-3})…
math.OC2026
Stability of Lagrangian Generalized Nash Equilibriums
Lixin Tang, Liwei Zhang
Lagrangian generalized Nash equilibriums (LGNEs) were introduced by Rockafellar (2024) for a class of generalized Nash equilibrium problems (GNEPs) in which each player's strategy…
math.OC2026
Prox-PEP: A Proximal Partial Exact Penalty Algorithm for Weakly Convex Stochastic Nonlinear Programming
Lixin Tang, Xingyu Wang, Liwei Zhang
This paper considers stochastic optimization problems with weakly convex objective and constraint functions. We propose Prox-PEP, a proximal method equipped with quadratic subprobl…