3 papers
math.OC2026
A Coupled Nonsmooth Dynamical System: Global Well-Posedness, Stability and Sensitivity Analysis
Shengda Zeng, Jia Chen, Vo Thanh Phat
This paper studies a coupled nonsmooth dynamical system in which a semilinear evolution equation is coupled with an implicit algebraic law governed by the normal cone to a time-dep…
math.OC2026
New Globalized Newton-Type Methods for Nonconvex Optimization Problems
Vo Thanh Phat, Tuyen Tran
Newton's method is one of the most effective second-order algorithms for smooth optimization because of its fast local convergence. However, existing globally convergent Newton-typ…
math.OC2025
Characterizations of Variational Convexity and Tilt Stability via Quadratic Bundles
Pham Duy Khanh, Boris S. Mordukhovich, Vo Thanh Phat +1
In this paper, we establish characterizations of variational -convexity and tilt stability for prox-regular functions in the absence of subdifferential continuity via quadratic…