Abstract
The classic field of cone-functions is revisited to show their effectiveness for the applications to vector optimization. Then, another extension of the vector convex functions is considered, namely that of geoconvex functions. It shows that, even for this class, it is conceivable to devise a viable numerical calculus. Finally, a short comment is made about the applications to bilevel vector optimization, which will be carried out in two companion papers quoted in references.
| Original language | English |
|---|---|
| Pages (from-to) | 857-864 |
| Number of pages | 8 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 177 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Jun 2018 |
Bibliographical note
Publisher Copyright:© 2017, Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
- Bilevel problems
- Cone
- Cone-functions
- Convexity
- Geodesic
- Image-space analysis
- Polar cone
ASJC Scopus subject areas
- Management Science and Operations Research
- Control and Optimization
- Applied Mathematics