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

Karaman E., Atasever Güvenç İ., SOYERTEM M.

Optimization, cilt.70, sa.3, ss.613-630, 2021 (SCI-Expanded) identifier

  • 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.