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1759. Cone-compactness and applications in set optimization

Invited abstract in session MA-41: Vector and Set Optimization I, stream Vector and Set Optimization.

Monday, 8:30-10:00
Room: 97 (building: 306)

Authors (first author is the speaker)

1. Marius Durea
Mathematics, University Al. I. Cuza and Octav Mayer Institute of Mathematics
2. Elena-Andreea Florea
Mathematics, University Al. I. Cuza and Octav Mayer Institute of Mathematics

Abstract

We study the concept of cone-compactness for a subset of a normed vector space from the perspective of a sequential characterization under a separability assumption. Then we show that this concept is naturally involved in the investigation of several issues related to set optimization such as stability problems, conic cancellation laws, subdifferential calculus and optimality conditions.

Keywords

Status: accepted


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