- Tytuł:
- Second-order optimality conditions in nonsmooth vector optimization
- Autorzy:
- Yadav, Priyanka
- Powiązania:
- https://bibliotekanauki.pl/articles/31342762.pdf
- Data publikacji:
- 2023
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
vector optimization
cones
nonsmooth second-order cone-convexity
second-order optimality
duality - Opis:
- In this paper, we introduce new classes of nonsmooth second-order cone-convex functions and respective generalizations in terms of first and second-order directional derivative. These classes encapsulate several already existing classes of cone-convex functions and their weaker variants. Second-order KKT type sufficient optimality conditions and duality results for a nonsmooth vector optimization problem are proved using these functions. The results have been supported by examples.
- Źródło:
-
Control and Cybernetics; 2023, 52, 1; 35-51
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł