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Existence and Approximation Results for Min Sup Problems

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Book cover Papers of the 19th Annual Meeting / Vorträge der 19. Jahrestagung

Part of the book series: Operations Research Proceedings ((ORP,volume 1990))

Abstract

The aim of this paper is to give sequential conditions of minimal character which garantee, first the existence of solutions to a Min Sup problem with dependent constraints (P0) and second the “convergence” of solutions to an approximated problem (Pn), improving some results of preceeding papers.

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References

  1. Attouch H. Variational convergence for functions and operators. Pitman, Boston, 1984.

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  2. De Giorgi E.; Franzoni T. “Su un tipo di convergenza variazionale”. Acad.Naz.Lincei, Scienze Fisiche Matematiche e Naturali, 58, 1975.

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  3. Kuratowski K. Topology. Academic Press, New York, 1966.

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  4. Lignola M.B; Morgan J. “Topological existence and stability for MinSup problems”. J. Math.Anal. and Appl., vol.151, n°1, 1990, 164–180.

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  5. Lignola M.B; Morgan J. “On the continuity of marginal functions with dependent constraints”. Preprint n. 1604–1989- Centre de Recherches Mathematiques de l’Universite de Montreal.

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  6. Lignola M.B; Morgan J. “Convergence of marginal functions with dependent constraints” Preprint n. 14–1990, Dipartimento di Matematica e Applicazioni dell’Universita’ di Napoli.

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  7. E. Polak. “On the mathematical foundations of Nondifferentiable optimization in Engineering design” SIAM Review, vol.29, n°1, 1987.

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Author information

Authors and Affiliations

  1. Salerno, Italy

    M. Beatrice Lignola

  2. Napoli, Italy

    Jacqueline Morgan

Authors
  1. M. Beatrice Lignola
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  2. Jacqueline Morgan
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Editor information

Editors and Affiliations

  1. Lehrstuhl für Finanzierung, Universität Mannheim, L 5, 2 (Schloß), D-6800, Mannheim, Germany

    Wolfgang Bühler

  2. Institut für Ökonometrie, Operations Research und Systemtheorie, Technische Universität Wien, Argentinierstraße 8, A-1040, Wien, Austria

    Gustav Feichtinger  & Richard F. Hartl  & 

  3. Forschungsinstitut für anwendungsorientierte Wissensverarbeitung (FAW), Helmholtzstraße 16, D-7900, Ulm, Germany

    Franz Josef Radermacher

  4. Institut für Unternehmensforschung an der Hochschule St. Gallen, Bodanstraße 6, CH-9000, St. Gallen, Switzerland

    Paul Stähly

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© 1992 Springer-Verlag Berlin · Heidelberg

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Lignola, M.B., Morgan, J. (1992). Existence and Approximation Results for Min Sup Problems. In: Bühler, W., Feichtinger, G., Hartl, R.F., Radermacher, F.J., Stähly, P. (eds) Papers of the 19th Annual Meeting / Vorträge der 19. Jahrestagung. Operations Research Proceedings, vol 1990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77254-2_18

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  • DOI: https://doi.org/10.1007/978-3-642-77254-2_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55081-5

  • Online ISBN: 978-3-642-77254-2

  • eBook Packages: Springer Book Archive

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