Abstract
The notion of a normal cone of a given set is paramount in optimization and variational analysis. In this work, we give a definition of a multiobjective normal cone, which is suitable for studying optimality conditions and constraint qualifications for multiobjective optimization problems. A detailed study of the properties of the multiobjective normal cone is conducted. With this tool, we were able to characterize weak and strong Karush–Kuhn–Tucker conditions by means of a Guignard-type constraint qualification. Furthermore, the computation of the multiobjective normal cone under the error bound property is provided. The important statements are illustrated by examples.
| Original language | English |
|---|---|
| Pages (from-to) | 469-487 |
| Number of pages | 19 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 187 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Nov 2020 |
| Externally published | Yes |
Keywords
- Constraint qualifications
- Multiobjective optimization
- Optimality conditions
- Regularity
- Weak and strong Kuhn–Tucker conditions
Fingerprint
Dive into the research topics of 'Constraint Qualifications for Karush–Kuhn–Tucker Conditions in Multiobjective Optimization'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver