3 papers
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…
math.OC2020
Alternative representations of the normal cone to the domain of supremum functions and subdifferential calculus
R. Correa, A. Hantoute, M. A. López
The first part of the paper provides new characterizations of the normal cone to the effective domain of the supremum of an arbitrary family of convex functions. These results are…
math.OC2020
Subdifferential of the supremum function: Moving back and forth between continuous and non-continuous settings
Rafael Correa, Abderrahim Hantoute, Marco Antonio López
In this paper we develop general formulas for the subdifferential of the pointwise supremum of convex functions, which cover and unify both the compact continuous and the non-compa…