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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.OC2024
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…