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On Parametric Linear Optimization IV. Differentiable Parameter Functions

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Recent Results in Stochastic Programming

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 179))

Abstract

Let T be a compact Hausdorff-space and let C(T) denote the set of all continuous real valued functions defined on T, normed by

$${\left\| b \right\|_\infty }: = \mathop {\sup }\limits_{t\; \in \;T} \left| {b(t)} \right|.$$

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References

  1. Brosowski, B.: On parametric linear optimization. Lecture notes in Economics and Mathematical Systems, Vol. 157 (1978), p. 37–44

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  2. Brosowski, B.: Zur parametrischen linearen Optimierung. II. Eine hinreichende Bedingung für die Unterhalbstetigkeit. Operations Research Verfahren 31, S.135–141, 1979

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  3. Brosowski, B.: On parametric linear optimization. III. A necessary condition for lower semicontinuity. To appear.

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Authors
  1. Bruno Brosowski
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Editors and Affiliations

  1. Institut für Operations Research und mathematische Methoden der Wirtschaftswissenschaften, Universität Zürich, Weinbergstraße 59, CH-8006, Zürich, Schweiz

    Peter Kall

  2. Computer and Automation Institute, Hungarian Academy of Sciences, XI. Kende utca 13-17, Budapest, 1502, Hungary

    András Prékopa

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© 1980 Springer-Verlag Berlin Heidelberg

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Brosowski, B. (1980). On Parametric Linear Optimization IV. Differentiable Parameter Functions. In: Kall, P., Prékopa, A. (eds) Recent Results in Stochastic Programming. Lecture Notes in Economics and Mathematical Systems, vol 179. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51572-9_3

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  • DOI: https://doi.org/10.1007/978-3-642-51572-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10013-3

  • Online ISBN: 978-3-642-51572-9

  • eBook Packages: Springer Book Archive

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