Optimality Conditions in Set-valued Optimization Problem with Respect to a Partial Order Relation via Directional Derivative
Emrah Karaman, Mustafa Soyertem, İlknur Atasever Güvenç · Taiwanese Journal of Mathematics · 2019
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 $m_1$ order relation via directional derivative.