3 papers
math.OC2026
Solving Regularized Multifacility Location Problems with Unknown Number of Centers via Difference-of-Convex Optimization
W. Geremew, V. S. T. Long, N. M. Nam +1
In this paper, we develop optimization methods for a new model of multifacility location problems defined by a Minkowski gauge with Laplace-type regularization terms. The model is…
math.OC2025
On Characterizations of -Quasiconvexity
Nguyen Xuan Duy Bao, Nguyen Mau Nam
We revisit classical gradient characterizations of quasiconvexity and provide corrected proofs that close gaps in earlier arguments. For the differentiable case of -quasiconvexi…
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…