Optimality conditions in set-valued optimization problems with respect to a partial order relation by using subdifferentials. (4th March 2021)

• Record Type: Journal Article
• Authors: Karaman, Emrah; Atasever Güvenç, İlknur; Soyertem, Mustafa
• Is Part Of: Optimization. Volume 70:Number 3(2021)
• Page Start: 613
• Page End: 630
• Publication Date: 2021-03-04
• Subjects: Set-valued optimization -- subdifferential -- existence theorem -- optimality condition; 80M50 -- 90C26; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2020.1728270
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : 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.