|Start Page Number:||402|
|End Page Number:||421|
|Publication Date:||Nov 2016|
|Journal:||Journal of Optimization Theory and Applications|
|Authors:||Dempe Stephan, Pilecka Maria|
The aim of this paper was to provide optimality conditions for set‐valued optimisation problems with respect to the set less order relation. For this purpose, we use a slightly modified Demyanov difference in order to introduce a sort of directional derivative for set‐valued maps, which allows us to derive optimality conditions. Some results on existence and boundedness of the directional derivative are also given.