1 citations · 3 across the 14 of their papers we have counts for
18 papers
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…
Lipschitz Modulus of Convex Functions via Function Values
Pham Duy Khanh, Vu Vinh Huy Khoa, Vo Thanh Phat +1
In this note, we establish the Lipschitz continuity of finite-dimensional globally convex functions on all given balls and global Lipschitz continuity for eligible functions of tha…
Relationships between Global and Local Monotonicity of Operators
Pham Duy Khanh, Vu Vinh Huy Khoa, Juan Enrique Martínez-Legaz +1
The paper is devoted to establishing relationships between global and local monotonicity, as well as their maximality versions, for single-valued and set-valued mappings between fi…
Coderivative-Based Newton Methods in Structured Nonconvex and Nonsmooth Optimization
Pham Duy Khanh, Boris S. Mordukhovich, Vo Thanh Phat
This paper proposes and develops new Newton-type methods to solve structured nonconvex and nonsmooth optimization problems with justifying their fast local and global convergence b…
Fundamental Convergence Analysis of Sharpness-Aware Minimization
Pham Duy Khanh, Hoang-Chau Luong, Boris S. Mordukhovich +1
The paper investigates the fundamental convergence properties of Sharpness-Aware Minimization (SAM), a recently proposed gradient-based optimization method [Foret et al., 2021] tha…
Second-Order Subdifferential Optimality Conditions in Nonsmooth Optimization
Pham Duy Khanh, Vu Vinh Huy Khoa, Boris S. Mordukhovich +1
The paper is devoted to deriving novel second-order necessary and sufficient optimality conditions for local minimizers in rather general classes of nonsmooth unconstrained and con…