Titelaufnahme

Titel
A new scalarizing functional in set optimization with respect to variable domination structures / E. Köbis, Th.T. Le, Chr. Tammer, and J.-Ch. Yao
VerfasserKöbis, Elisabeth ; Le, Thanh Tam ; Tammer, Christiane ; Yao, Jen-Chih
ErschienenHalle/Saale : Martin-Luther-Universität Halle-Wittenberg, Naturwissenschaftliche Fakultät II, Institut für Mathematik, [2017]
Umfang1 Online-Ressource (31 Seiten, 484 MB)
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SpracheEnglisch
SerieReports ; 2017, No. 09
URNurn:nbn:de:gbv:3:2-80183 
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A new scalarizing functional in set optimization with respect to variable domination structures [0.47 mb]
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We introduce a new nonlinear scalarizing functional in set optimization with respect to variable domination structures. By means of this functional we characterize solutions of set optimization problems where the solution concept is given by the set approach. We also investigate the relationship between the well-posedness property of a set-valued problem and the Tykhonov well-posedness property of the scalarized problem by means of the proposed scalarizing functional. Also two classes of well-posed set optimization problems with respect to variable domination structures are identified. Finally we apply our results to uncertain vector optimization problems.