Asymptotic Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach Space
S. Zlobec · SIAM Journal on Control · 1970
Previous article Next article Asymptotic Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach SpaceSanjo ZlobecSanjo Zlobechttps://doi.org/10.1137/0308037PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Adi Ben-Israel, Linear equations and inequalities on finite dimensional, real or complex, vector spaces: A unified theory, J. Math. Anal. Appl., 27 (1969), 367–389 10.1016/0022-247X(69)90054-7 MR0242865 0174.31502 CrossrefISIGoogle Scholar[2] A. V. Fiacco and , G. P. McCormick, Asymptotic conditions for constrained minimization, Technical Paper, RAC-TP-340, Research Analysis Corporation, McLean, Virginia, 1968 Google Scholar[3] Monique Guignard, Generalized Kuhn-Tucker conditions for mathematical programming problems in a Banach space, SIAM J. Control, 7 (1969), 232–241 10.1137/0307016 MR0252042 0182.53101 LinkISIGoogle Scholar[4] Magnus R. Hestenes, Calculus of variations and optimal control theory, John Wiley & Sons Inc., New York, 1966xii+405 MR0203540 0173.35703 Google Scholar[5] K. O. Kortanek and , J. P. Evans, Asymptotic Lagrange regularity for pseudoconcave programming with weak constraint qualification, Operations Res., 16 (1968), 849–857 MR0256727 0164.19801 CrossrefISIGoogle Scholar[6] David G. Luenberger, Optimization by vector space methods, John Wiley & Sons Inc., New York, 1969xvii+326 MR0238472 0337.65036 Google Scholar[7] Olvi L. Mangasarian, Nonlinear programming, McGraw-Hill Book Co., New York, 1969xiii+220 MR0252038 0194.20201 Google Scholar[8] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51 (1955), 406–413 MR0069793 0065.24603 CrossrefGoogle Scholar[9] Kôsaku Yosida, Functional analysis, Die Grundlehren der Mathematischen Wissenschaften, Band 123, Academic Press Inc., New York, 1965xi+458 MR0180824 0126.11504 CrossrefGoogle Scholar[10] S. Zlobec, Note on generalized Kuhn-Tucker conditions in mathematical programming, Rep., 70-10, Northwestern University, Evanston, Illinois, 1970, Series in Applied Mathematics Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Weak Tangent Cones and Optimization in a Banach Space18 July 2006 | SIAM Journal on Control and Optimization, Vol. 16, No. 3AbstractPDF (1324 KB)Proper Efficient Points for Maximizations with Respect to Cones18 July 2006 | SIAM Journal on Control and Optimization, Vol. 15, No. 1AbstractPDF (722 KB)Extensions of Asymptotic Kuhn–Tucker Conditions in Mathematical Programming12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 21, No. 3AbstractPDF (843 KB) Volume 8, Issue 4| 1970SIAM Journal on Control History Submitted:30 December 1969Published online:18 July 2006 InformationCopyright © 1970 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0308037Article page range:pp. 505-512ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics