Optimality conditions for set-valued optimization problems based on set approach and applications in uncertain optimization / E. Köbis, Chr. Tammer and J.-Ch. Yao

Köbis, ElisabethTammer, ChristianeYao, Jen-Chih2025-05-292017https://epflicht.bibliothek.uni-halle.de/handle/123456789/4544885571738urn:nbn:de:gbv:3:2-716532545458FbTIBAbstract: 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.1 Online-Ressource (21 Seiten = 0,27 MB) : Diagrammenghttp://rightsstatements.org/vocab/InC/1.0/510Optimality conditions for set-valued optimization problems based on set approach and applications in uncertain optimization / E. Köbis, Chr. Tammer and J.-Ch. YaoBook