Journal of Optimization Theory and Applications

, Volume 99, Issue 1, pp 165–181 | Cite as

On Quasimonotone Variational Inequalities

  • I. V. Konnov


In this paper, we study variational inequalities with multivalued mappings. By employing Fan's lemma, we establish the existence result for the dual formulation of variational inequalities with semistrictly quasimonotone mappings. We also show that similar results for quasimonotone variational inequalities do not hold.

Semistrictly quasimonotone mappings dual formulation of variational inequalities multivalued mappings 


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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • I. V. Konnov
    • 1
  1. 1.Department of Applied MathematicsKazan UniversityKazanRussia

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