3 papers
math.OC2025
Strong duality in infinite convex optimization
Abderrahim Hantoute, Alexander Y. Kruger, Marco A. López
We develop a methodology for closing duality gap and guaranteeing strong duality in infinite convex optimization. Specifically, we examine two new Lagrangian-type dual formulations…
math.OC2024
Convex regularization and subdifferential calculus
Rafael Correa, Abderrahim Hantoute, Marco A. López
This paper deals with the regularization of the sum of functions defined on a locally convex spaces through their closed-convex hulls in the bidual space. Different conditions guar…
math.OC2021
Relaxed Lagrangian duality in convex infinite optimization: reducibility and strong duality
Nguyen Dih, Miguel A. Goberna, Marco A. López +1
We associate with each convex optimization problem, posed on some locally convex space, with infinitely many constraints indexed by the set T, and a given non-empty family H of fin…