Optimality conditions in set-valued optimization problems with respect to a partial order relation by using subdifferentials
Optimization, cilt.70, sa.3, ss.613-630, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 70 Sayı: 3
- Basım Tarihi: 2021
- Doi Numarası: 10.1080/02331934.2020.1728270
- Dergi Adı: Optimization
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, ABI/INFORM, Aerospace Database, Applied Science & Technology Source, Computer & Applied Sciences, MathSciNet, zbMATH
- Sayfa Sayıları: ss.613-630
- Anahtar Kelimeler: 80M50, 90C26, existence theorem, optimality condition, Set-valued optimization, subdifferential
- Uşak Üniversitesi Adresli: Evet
Özet
In this study, set-valued optimization problems are considered with respect to (Formula presented.) -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 (Formula presented.) -order relation.