Abstract
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.
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Communicated by Akhtar A. Khan.
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Dempe, S., Pilecka, M. Optimality Conditions for Set-Valued Optimisation Problems Using a Modified Demyanov Difference. J Optim Theory Appl 171, 402–421 (2016). https://doi.org/10.1007/s10957-015-0745-5
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DOI: https://doi.org/10.1007/s10957-015-0745-5