3 papers
math.OC2024
Geometric characterizations of Lipschitz stability for convex optimization problems
Tran T. A. Nghia
In this paper, we mainly study tilt stability and Lipschitz stability of convex optimization problems. Our characterizations are geometric and fully computable in many important ca…
math.OC2024
Solution uniqueness of convex optimization problems via the radial cone
Jalal Fadili, Tran T. A. Nghia, Duy Nhat Phan
In this paper, we mainly study solution uniqueness of some convex optimization problems. Our characterizations of solution uniqueness are in terms of the radial cone. This approach…
math.OC2023
Geometric characterizations for strong minima with applications to nuclear norm minimization problems
Jalal Fadili, Tran T. A. Nghia, Duy Nhat Phan
In this paper, we introduce several geometric characterizations for strong minima of optimization problems. Applying these results to nuclear norm minimization problems allows us t…