Abstract
The paper is devoted to a new subdifferential version of Ekeland’s variational principle for set-valued maps in terms of Mordukhovich’s limiting differentiation, where Kuroiwa’s lower set-less preorder is used to compare images of set-valued maps. As a consequence, we study necessary conditions for strict positive minimizers of set-valued maps.
| Original language | English |
|---|---|
| Pages (from-to) | 1537-1551 |
| Number of pages | 15 |
| Journal | Optimization Letters |
| Volume | 15 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jul 2021 |
Bibliographical note
Publisher Copyright:© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- Ekeland’s variational principle
- Limiting differentiation
- Lower set-less preorder
- Set optimization
ASJC Scopus subject areas
- Control and Optimization
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