Optimality conditions for set-valued optimization problems based on set approach and applications in uncertain optimization / E. Köbis, Chr. Tammer and J.-Ch. Yao
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885571738
URN
urn:nbn:de:gbv:3:2-71653
DOI
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Autorin / Autor
Beiträger
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Erschienen
Halle/Saale : Martin-Luther-Universität Halle-Wittenberg, Naturwissenschaftliche Fakultät II, Institut für Mathematik, [2017]
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1 Online-Ressource (21 Seiten = 0,27 MB) : Diagramm
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Sprache
eng
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Inhaltliche Zusammenfassung
Abstract: In this paper, we derive necessary optimality conditions for optimal solutions of set-valued optimization problems based on a set approach. These necessary optimality conditions are derived in terms of Bouligand and Mordukhovich generalized differentiation objects for optimal solutions of set-valued problems with respect to the possibly and lower set less order relation. Finally, we apply our results to vector optimization problems that are contaminated by uncertain data.
Schriftenreihe
Reports ; 2017, No. 04 ppn:584754027