2 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.OC2025
Optimality conditions and subdifferential calculus for infinite sums of functions
Abderrahim Hantoute, Alexander Y. Kruger, Marco A. Lopez
The paper extends the widely used in optimisation theory decoupling techniques to infinite collections of functions. Extended concepts of uniform lower semicontinuity and firm unif…