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math.OC2023★ 1 cited
Subdifferential calculus and ideal solutions for set optimization problems
Marius Durea, Elena-Andreea Florea
We explore the possibility to derive basic calculus rules for some subdifferential constructions associated to set-valued maps between normed vector spaces. Then, we use these resu…
math.OC2023
Conic cancellation laws and some applications
Marius Durea, Elena-Andreea Florea
We discuss, on finite and infinite dimensional normed vector spaces, some versions of Radström cancellation law (or lemma) that are suited for applications to set optimization prob…
math.OC2018
Directional Pareto efficiency: concepts and optimality conditions
Teodor Chelmuş, Marius Durea, Elena-Andreea Florea
We introduce and study a notion of directional Pareto minimality with respect to a set that generalizes the classical concept of Pareto efficiency. Then we give separate necessary…