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A Note on Random Variational Inequalities and Simple Random Unilateral Boundary Value Problems: Well-Posedness and Stability Results

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Advances in Convex Analysis and Global Optimization

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 54))

Abstract

This note treats a class of random variational inequalities. In addition to existence and uniqueness results under coercivity assumptions, a stability result is presented for perturbations in the given real-valued random variables and also for perturbations in the convex closed subset with respect to Mosco convergence. This stability result is applied to random elliptic boundary value problems with unilateral Signorini boundary conditions, where randomness enters in the coefficient of the elliptic operator and in the right hand side of the partial differential equation.

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Author information

Authors and Affiliations

  1. Institut für Mathematik Fakultät für Luft- und Raumfahrttechnik, Universität der Bundeswehr, München, Germany

    Joachim Gwinner

Authors
  1. Joachim Gwinner
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Editor information

Editors and Affiliations

  1. University of the Aegean, Greece

    Nicolas Hadjisavvas

  2. University of Florida, USA

    Panos M. Pardalos

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© 2001 Kluwer Academic Publishers

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Gwinner, J. (2001). A Note on Random Variational Inequalities and Simple Random Unilateral Boundary Value Problems: Well-Posedness and Stability Results. In: Hadjisavvas, N., Pardalos, P.M. (eds) Advances in Convex Analysis and Global Optimization. Nonconvex Optimization and Its Applications, vol 54. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0279-7_34

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  • DOI: https://doi.org/10.1007/978-1-4613-0279-7_34

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-6942-4

  • Online ISBN: 978-1-4613-0279-7

  • eBook Packages: Springer Book Archive

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