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• W2116734312 abstract "Previous article Next article Duality for Nonlinear Programming in a Banach SpaceK. RitterK. Ritterhttps://doi.org/10.1137/0115029PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Ky Fan, On systems of linear inequalitiesLinear inequalities and related systems, Annals of Mathematics Studies, no. 38, Princeton University Press, Princeton, N.J., 1956, 99–156 MR0087901 0072.37602 Google Scholar[2] M. A. Hanson, A duality theorem in non-linear programming with non-linear constraints, Austral. J. Statist., 3 (1961), 64–72 MR0138508 0102.15601 CrossrefGoogle Scholar[3] M. A. Hanson, Infinite non-linear programming, J. Austral. Math. Soc., 3 (1963), 294–300 MR0157782 0204.19603 CrossrefGoogle Scholar[4] P. Huard, Dual programs, IBM J. Res. Develop., 6 (1962), 137–139 0116.12403 CrossrefISIGoogle Scholar[5] L. Hurwicz, Programming in linear spacesStudies in Linear and Nonlinear Programming, Stanford University Press, Stanford, 1958 Google Scholar[6] R. J. Kelly and , W. A. Thompson, Jr., Quadratic programming in real Hilbert spaces, J. Soc. Indust. Appl. Math., 11 (1963), 1063–1070 10.1137/0111078 MR0159708 0204.19501 LinkISIGoogle Scholar[7] H. W. Kuhn and , A. W. Tucker, Nonlinear programming, Proc. 2nd Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, 1961, 481–492 Google Scholar[8] O. L. Mangasarian, Duality in nonlinear programming, Quart. Appl. Math., 20 (1962/1963), 300–302 MR0141530 0113.35703 CrossrefGoogle Scholar[9] Philip Wolfe, A duality theorem for non-linear programming, Quart. Appl. Math., 19 (1961), 239–244 MR0135625 0109.38406 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Utility maximisation and utility indifference price for exponential semi-martingale models and HARA utilities24 January 2015 | Proceedings of the Steklov Institute of Mathematics, Vol. 287, No. 1 Cross Ref f-Divergence Minimal Equivalent Martingale Measures and Optimal Portfolios for Exponential Lévy Models with a Change-point31 July 2013 Cross Ref Convex Programming Cross Ref Second and higher order duality in Banach space under -invexityNonlinear Analysis: Hybrid Systems, Vol. 5, No. 3 Cross Ref An elementary proof of the Karush–Kuhn–Tucker theorem in normed linear spaces for problems with a finite number of inequality constraintsOptimization, Vol. 60, No. 5 Cross Ref Infinite Dimensional Mathematical Programming10 June 2010 Cross Ref On nonlinear programming in complex spacesJournal of Mathematical Analysis and Applications, Vol. 164, No. 2 Cross Ref Construction of Selection Indexes with RestrictionsBiometrical Journal, Vol. 26, No. 1 Cross Ref Quadratic duality over convex cone domains1 December 1976 | Mathematical Programming, Vol. 10, No. 1 Cross Ref Nonlinear programming without differentiability in banach spaces: necessary and sufficient constraint qualification4 March 2011 | Applicable Analysis, Vol. 5, No. 3 Cross Ref Investigation of stochastic extremal problems by means of functional analysisCybernetics, Vol. 6, No. 3 Cross Ref A theorem on supports of a convex functional in a realBanach spaceUnternehmensforschung Operations Research - Recherche Opérationnelle, Vol. 14, No. 1 Cross Ref Optimization theory in linear spacesMathematische Annalen, Vol. 184, No. 2 Cross Ref Dual nonlinear programming problems in partially ordered Banach spacesZeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 14, No. 4 Cross Ref Duality for non-linear programming in aBanach spaceUnternehmensforschung Operations Research - Recherche Opérationnelle, Vol. 13, No. 4 Cross Ref Generalized Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach SpaceMonique Guignard18 July 2006 | SIAM Journal on Control, Vol. 7, No. 2AbstractPDF (989 KB)Multiplier Functions in Optimal ControlJ. Ponstein18 July 2006 | SIAM Journal on Control, Vol. 6, No. 4AbstractPDF (922 KB)Convex Programming and Duality in Normed SpaceIEEE Transactions on Systems Science and Cybernetics, Vol. 4, No. 2 Cross Ref Volume 15, Issue 2| 1967SIAM Journal on Applied Mathematics History Submitted:11 March 1966Published online:13 July 2006 InformationCopyright © 1967 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0115029Article page range:pp. 294-302ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics" @default.
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