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Minimax Methods for Inequality Problems

  • D. Goeleven
  • D. Motreanu
  • Y. Dumont
  • M. Rochdi
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 69)

Abstract

We know from Chapter 2 that, if we intend to consider concrete problems in unilateral Mechanics involving both monotone and nonmonotone unilateral boundary (or interior) conditions, then we have in general to deal with a nonsmooth and nonconvex energy functional — expressed as the sum of a locally Lipschitz function \(\Phi :X \to \mathbb{R}\) and a proper, convex and lower semi-continuous function \(\psi :X \to \mathbb{R} \cup \left\{ { + \infty } \right\}\) — whose critical points are defined as the solutions of the variational-hemivariational inequality

Keywords

Variational Inequality Inequality Problem Convergent Subsequence Critical Point Theory HEMIVARIATIONAL Inequality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • D. Goeleven
    • 1
  • D. Motreanu
    • 2
  • Y. Dumont
    • 1
  • M. Rochdi
    • 1
  1. 1.IREMIA, University of La ReunionFrance
  2. 2.University of PerpignanFrance

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