Hemivariational Inequalities and Hysteresis

  • M. Miettinen
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 55)


Hemivariational inequalities introduced by P.D. Panagiotopoulos are generalizations of variational inequalities. This type of inequality problems arises, e.g. in variational formulation of mechanical problems whenever nonmonotone and multivalued relations or nonconvex energy functions are involved. Typical examples of such kind of phenomena are nonmonotone friction laws and adhesive contact laws. Mathematically these nonmonotone relations are described by means of generalized gradients (in sense of F.H. Clarke) of nonconvex potential functions. For applications and for their mathematical treatment we refer to [9],[10],[13]–[18].


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© Kluwer Academic Publishers 2001

Authors and Affiliations

  • M. Miettinen
    • 1
  1. 1.Department of MathematicsUniversity of JyväskyläJyväskyläFinland

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