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Duality and the Generalized Kuhn-Tucker Theory

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Nonlinear Functional Analysis and its Applications

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Abstract

In this chapter we consider convex minimum problems with a finite or infinite number of side conditions and their generalizations. It turns out that the results of the classical Kuhn-Tucker theory can be carried over completely to this situation.

Bees ... by virtue of a certain geometrical forethought...know that the hexagon is greater than the square and the triangle and will hold more honey for the same expenditure of material.

Pappus of Alexandria

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References to the Literature

  • John, F. (1948): Extremum problems with inequalities as subsidiary conditions. In: Studies and Essays Presented to R. Courant. Interscience, New York, 187 – 204.

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Authors and Affiliations

  1. Sektion Mathematik, Karl-Marx-Platz, 7010, Leipzig, German Democratic Republic

    Eberhard Zeidler

Authors
  1. Eberhard Zeidler
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© 1985 Springer Science+Business Media New York

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Zeidler, E. (1985). Duality and the Generalized Kuhn-Tucker Theory. In: Nonlinear Functional Analysis and its Applications. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5020-3_15

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  • DOI: https://doi.org/10.1007/978-1-4612-5020-3_15

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9529-7

  • Online ISBN: 978-1-4612-5020-3

  • eBook Packages: Springer Book Archive

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