3 papers
math.OC2026
On the Strong Quasiconvexity of Norms and Distance Functions
V. S. T. Long, N. M. Nam
This paper studies the strong quasiconvexity of norm and distance functions in finite-dimensional normed spaces. Although the Euclidean norm is known to be strongly quasiconvex on…
math.OC2025
Qualitative and Generalized Differentiation Properties of Optimal Value Functions with Applications to Duality
V. S. T. Long, B. S. Mordukhovich, N. M. Nam +1
This paper investigates general and generalized differentiation properties of the optimal value function associated with perturbed optimization problems. Fundamental results on nea…
math.OC2023
A New Notion of Tykhonov Well-Posedness for Optimization Problems
J. S. Chen, V. K. Hoang, V. S. T. Long
Building upon the minimal time function, we propose and study a novel notion of Tykhonov well-posedness with respect to a set of directions for optimization problems. This concept…