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Semi-Infinite Programming and Applications pp 93–106Cite as

Existence Theorems in Semi-Infinite Programs

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 215))

Abstract

Existence of multipliers for semi-infinite nonlinear programs is established by means of an independence condition of the constraints which stemmed from the study of the conditional Gauss variational problem in potential theory. In the case where the objective function is a quadratic form, our results are generalizations of those for the conditional Gauss variational problem.

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References

  1. Ekeland, I, and Teman, R: Convex analysis and variational problems. North-Holland, Amsterdam, 1976.

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  5. Yamasaki, M: Semi-infinite programs and conditional Gauss variational problems. Hiroshima Math. J. 1 (1971), 177–226.

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  6. Yamasaki, M: An independence condition in semi-infinite programs. Hiroshima Math. J. 3(1973), 15–24.

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Authors
  1. Maretsugu Yamasaki
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Editor information

Editors and Affiliations

  1. Department of Operations Research School of Engineering and Applied Science, The George Washington University, Washington, DC, 20052, USA

    Anthony V. Fiacco

  2. Department of Mathematics, Carnegie-Mellon University, Pittsburgh, PA, 15213, USA

    Kenneth O. Kortanek

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© 1983 Springer-Verlag Berlin Heidelberg

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Yamasaki, M. (1983). Existence Theorems in Semi-Infinite Programs. In: Fiacco, A.V., Kortanek, K.O. (eds) Semi-Infinite Programming and Applications. Lecture Notes in Economics and Mathematical Systems, vol 215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46477-5_6

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  • DOI: https://doi.org/10.1007/978-3-642-46477-5_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12304-0

  • Online ISBN: 978-3-642-46477-5

  • eBook Packages: Springer Book Archive

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