Optimality conditions in set-valued optimization problem with respect to a partial order relation via directional derivative
Taiwanese Journal of Mathematics, cilt.24, sa.3, ss.709-722, 2020 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 3
- Basım Tarihi: 2020
- Doi Numarası: 10.11650/tjm/190604
- Dergi Adı: Taiwanese Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.709-722
- Anahtar Kelimeler: Directional derivative, Optimality conditions, Partial order, Set-valued optimization
- Uşak Üniversitesi Adresli: Evet
Özet
In this study, a new directional derivative is defined by using Minkowski difference. Some properties and existence theorems of this directional derivative are given. Moreover, necessary and sufficient optimality conditions are presented for set-valued optimization problems with respect to m1 order relation via directional derivative.