Optimality Conditions in Set-valued Optimization Problem with Respect to a Partial Order Relation via Directional Derivative

Karaman, EmrahSoyertem, MustafaGuvenc, Ilknur Atasever2024-09-292024-09-2920201027-54872224-6851https://doi.org/10.11650/tjm/190604https://hdl.handle.net/20.500.14619/6395In 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.eninfo:eu-repo/semantics/openAccessset-valued optimizationpartial orderdirectional derivativeoptimality conditionsOptimality Conditions in Set-valued Optimization Problem with Respect to a Partial Order Relation via Directional DerivativeArticle10.11650/tjm/1906042-s2.0-850797018347223Q370924WOS:000535447100010Q2