ЗАУВАЖЕННЯ ЩОДО ДОСЯЖНОСТІ СУПРЕМУМА ОПУКЛИМ ФУНКЦІОНАЛОМ

The criterion of supremum attainment by convex lower semicontinuous functional on compact convex subset of locally convex space is obtained. The convex functionals attaining supremum on uncertain convex closed and bounded subset of reflexive Banach space are described.

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Bibliographische Detailangaben
Datum:2006
Hauptverfasser: Lyashko, S.I., Semenov, V.V., Katsev, M.V.
Format: Artikel
Sprache:Ukrainian
Veröffentlicht: V.M. Glushkov Institute of Cybernetics of NAS of Ukraine 2006
Online Zugang:https://jais.net.ua/index.php/files/article/view/394
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Назва журналу:Problems of Control and Informatics

Institution

Problems of Control and Informatics
Beschreibung
Zusammenfassung:The criterion of supremum attainment by convex lower semicontinuous functional on compact convex subset of locally convex space is obtained. The convex functionals attaining supremum on uncertain convex closed and bounded subset of reflexive Banach space are described.