2 papers
math.OC2025
First-Order Characterizations of Strong Quasiconvexity and a Quasimonotonicity Gap
Nguyen Xuan Duy Bao, Nguyen Mau Nam
We study first-order conditions for Gâteaux differentiable strongly quasiconvex functions on open convex subsets of normed spaces. First, we prove that the value-order gradient con…
math.OC2024
Nash Equilibrium and Minimax Theorems via Variational Tools of Convex Analysis
Nguyen Xuan Duy Bao, Boris Mordukhovich, Nguyen Mau Nam
In this paper, we first provide a simple variational proof of the existence of Nash equilibrium in Hilbert spaces by using optimality conditions in convex minimization and Schauder…