Optimality conditions in set-valued optimization problem with respect to a partial order relation via directional derivative
Taiwanese Journal of Mathematics, vol.24, no.3, pp.709-722, 2020 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 24 Issue: 3
- Publication Date: 2020
- Doi Number: 10.11650/tjm/190604
- Journal Name: Taiwanese Journal of Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Page Numbers: pp.709-722
- Keywords: Directional derivative, Optimality conditions, Partial order, Set-valued optimization
- Uşak University Affiliated: Yes
Abstract
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.