Optimality conditions in set-valued optimization problem with respect to a partial order relation via directional derivative

Karaman E., SOYERTEM M., Güvenç İ. A.

Taiwanese Journal of Mathematics, cilt.24, sa.3, ss.709-722, 2020 (SCI-Expanded) identifier

  • 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.