EUROPT 2024
Abstract Submission

110. Conic cancellation laws and applications

Invited abstract in session WF-4: Multiobjective Optimization I, stream Multiobjective optimization.

Wednesday, 16:20 - 18:00
Room: M:M

Authors (first author is the speaker)

1. Marius Durea
Mathematics, University Al. I. Cuza and Octav Mayer Institute of Mathematics

Abstract

We discuss, on finite and infinite dimensional normed vector spaces, some versions of Rådström cancellation law that are suited for applications to set optimization problems. We call our results "conic" variants of the celebrated result of Rådström, since they involve the presence of an ordering cone. Several adaptations to this context of some topological properties of sets are studied and some applications to subdifferential calculus associated to set-valued maps and to necessary optimality conditions for constrained set optimization problems are given.

Keywords

Status: accepted


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