On Higher-Order Mixed Duality in Set-Valued Optimization

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F18%3AA2202EQK" target="_blank" >RIV/61988987:17310/18:A2202EQK - isvavai.cz</a>
Výsledek na webu
<a href="https://link.springer.com/article/10.1007/s40840-016-0362-y" target="_blank" >https://link.springer.com/article/10.1007/s40840-016-0362-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40840-016-0362-y" target="_blank" >10.1007/s40840-016-0362-y</a>

Jazyk výsledku
angličtina
Název v původním jazyce
On Higher-Order Mixed Duality in Set-Valued Optimization
Popis výsledku v původním jazyce
In the paper, we first develop sum and chain rules of higher-order radial derivatives. By virtue of these derivatives, we establish duality theorems for a primal-dual pair in set-valued optimization. Then, their applications to optimality conditions for weakly efficient solutions are implied. Our results are more advantageous than several existing ones in the literature, especially in case of the ordering cone in the constraint space having possibly empty interior.
Název v anglickém jazyce
On Higher-Order Mixed Duality in Set-Valued Optimization
Popis výsledku anglicky
In the paper, we first develop sum and chain rules of higher-order radial derivatives. By virtue of these derivatives, we establish duality theorems for a primal-dual pair in set-valued optimization. Then, their applications to optimality conditions for weakly efficient solutions are implied. Our results are more advantageous than several existing ones in the literature, especially in case of the ordering cone in the constraint space having possibly empty interior.

Rok uplatnění
2018
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Podobné výsledky(10)