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Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems

  • Mathematical Programming, Theory
  • Conference paper
  • First Online:
Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 7))

Abstract

Second-order necessary and sufficient optimality conditions are given for infinite-dimensional programming problems with constraints defined by closed convex cones. The necessary conditions are an immediate generalization of those known for the finite-dimensional case. However, this does not hold for the sufficient conditions as shown by a counterexample. Modified sufficient conditions are developed for the infinite-dimensional case.

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References

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Author information

Authors and Affiliations

  1. Institut für Numerische und Instrumentelle Mathematik, Westfälische Wilhelms-Universität, Roxeler Straße 64, 44 Münster, F.R.G.

    H. Maurer & J. Zowe

  2. Institut für Angewandte Mathematik und Statistik, Universität Würzburg, Am Hubland, 87 Würzburg, F.R.G.

    H. Maurer & J. Zowe

Authors
  1. H. Maurer
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  2. J. Zowe
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Editor information

J. Stoer

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© 1978 Springer-Verlag

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Maurer, H., Zowe, J. (1978). Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems. In: Stoer, J. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006504

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  • DOI: https://doi.org/10.1007/BFb0006504

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08708-3

  • Online ISBN: 978-3-540-35890-9

  • eBook Packages: Springer Book Archive

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