The method of Dubovitskii-Milyutin in mathematical programming

  • Hubert Halkin
Part 1. Optimization Problems
Part of the Lecture Notes in Physics book series (LNP, volume 21)


Constraint Qualification Optimal Control Theory Operator Constraint Nonzero Vector Affine Function 
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    Dubovitskii,A.Ya, and Milyutin,A.A., Extremum Problems in the Presnece of Restrictions, U.S.S.R. Computational Mathematics and Mathematical Statistics, 5,1965,1–79.Google Scholar
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    Halkin,H., A Satisfactory Treatment of Equality and Operator Constraints in the Dubovitskii-Milyutin Optimization Formalism, Journal of Optimization Theory and Applications, 6,1970,138–149.CrossRefGoogle Scholar
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    John,F., Extremum Problems with Inequalities as Subsidiary Conditions, in “Studies and Essays:Courant Anniversary Volume“:,(K.O.Friedricks,O.E.Neugebauer,and J.J.Stoker,(eds.)),pp.187–204,Interscience Publishers,New York,1948.Google Scholar
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    Abadie,J., On the Kuhn-Tucker Theorem, in “Nonlinear Programming”,J.Abadie(ed.), pp.19–36,North-Holland,1967.Google Scholar
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    Halkin,H., Optimal Control as Programming in Infinite Dimensional Spaces, in “C.I.M.E.:Calculus of Variations,Classical and Modem”,pp.179–192,Eidizioni Cremonese,Roma,1966.Google Scholar
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    Halkin,H. and Neustadt,L.W., Control as Programming in General Normed Linear Spaces, Lecture Notes in Operations Research and Mathematical Economics,Springer Verlag, 11,1969,23–40.Google Scholar

Copyright information

© Springer Verlag 1973

Authors and Affiliations

  • Hubert Halkin
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaSan Diego La Jolla

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