On Higher-Order Mixed Duality in Set-Valued Optimization

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

On Higher-Order Mixed Duality in Set-Valued Optimization

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10103 - Statistics and probability

Project

—

Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Bulletin of the Malaysian Mathematical Sciences Society

ISSN

0126-6705

e-ISSN

—

Volume of the periodical

41

Issue of the periodical within the volume

2

Country of publishing house

MY - MALAYSIA

Number of pages

17

Pages from-to

723-739

UT code for WoS article

000428852200011

EID of the result in the Scopus database

2-s2.0-85044766991