Optimality conditions in set-valued optimization problems with respect to a partial order relation by using subdifferentials.

Autor: Karaman, Emrah, Atasever Güvenç, İlknur, Soyertem, Mustafa
Předmět:
Zdroj: Optimization; Mar2021, Vol. 70 Issue 3, p613-630, 18p
Abstrakt: In this study, set-valued optimization problems are considered with respect to m 1 -order relation, which is a partial order relation on the family of nonempty and bounded sets. Four subdifferentials are defined for set-valued optimization maps. Some existence theorems and relations among these subdifferentials are obtained. By using them, necessary and sufficient optimality conditions are presented for set-valued optimization problems with respect to m 1 -order relation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index