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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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