Summary
A theorem on supports of a convex functional in a realBanach space is proved which provides us with the principal tool to establish certain duality results for a non-linear programming problem in a realBanach space.
Zusammenfassung
Es wird ein Satz über die Stützhyperebenen eines konvexen Funktionals in einem reellenBanach-Raum bewiesen. Dieser ist ein wesentliches Hilfsmittel zur Herleitung von Dualitätssätzen für nichtlineare Programme inBanach-Räumen.
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References
Eisenberg, E.: Supports of a convex function. Bull. Am. Math. Soc.,68, 1962, 192–195.
Sinha, S. M.: An extension of a theorem on supports of a convex function. Manag. Sc.,12, Series A, 1966, 380–384.
Chandra, S.: Non-linear programming in a real Banach Space. Research Report I.I.T., Kanpur 1968.
Ritter, K.: Duality for non-linear programming in a real Banach space. SIAM J. Appl. Math.,15, 1967, 294–302.
Simmons, G. F.: Topology and Modern Analysis, New York 1963.
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Vorgel. v.:J. Nitsche.
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Chandra, S. A theorem on supports of a convex functional in a realBanach space. Unternehmensforschung Operations Research 14, 297–301 (1970). https://doi.org/10.1007/BF01918276
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DOI: https://doi.org/10.1007/BF01918276