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On Quasimonotone Variational Inequalities

Author

Listed:
  • D. Aussel

    (Université de Perpignan)

  • N. Hadjisavvas

    (University of the Aegean)

Abstract

The purpose of this paper is to prove the existence of solutions of the Stampacchia variational inequality for a quasimonotone multivalued operator without any assumption on the existence of inner points. Moreover, the operator is not supposed to be bounded valued. The result strengthens a variety of other results in the literature.

Suggested Citation

  • D. Aussel & N. Hadjisavvas, 2004. "On Quasimonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 121(2), pages 445-450, May.
    • Handle: RePEc:spr:joptap:v:121:y:2004:i:2:d:10.1023_b:jota.0000037413.45495.00
    DOI: 10.1023/B:JOTA.0000037413.45495.00
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    References listed on IDEAS

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    1. A. Daniilidis & N. Hadjisavvas, 1999. "Characterization of Nonsmooth Semistrictly Quasiconvex and Strictly Quasiconvex Functions," Journal of Optimization Theory and Applications, Springer, vol. 102(3), pages 525-536, September.
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