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, vol.70, no.3, pp.613-630, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 70 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.1080/02331934.2020.1728270
  • Journal Name: Optimization
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, ABI/INFORM, Aerospace Database, Applied Science & Technology Source, Computer & Applied Sciences, MathSciNet, zbMATH
  • Page Numbers: pp.613-630
  • Keywords: 80M50, 90C26, existence theorem, optimality condition, Set-valued optimization, subdifferential
  • Uşak University Affiliated: Yes

Abstract

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.