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On Quasimonotone Variational Inequalities

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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.

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Authors and Affiliations

  1. Département de Mathématiques, Université de Perpignan, Perpignan, France

    D. Aussel (Associate Professor)

  2. Department of Product and Systems Design Engineering, University of the Aegean, Hermoupolis, Syros, Greece

    N. Hadjisavvas (Professor)

Authors
  1. D. Aussel
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  2. N. Hadjisavvas
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Aussel, D., Hadjisavvas, N. On Quasimonotone Variational Inequalities. Journal of Optimization Theory and Applications 121, 445–450 (2004). https://doi.org/10.1023/B:JOTA.0000037413.45495.00

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  • DOI: https://doi.org/10.1023/B:JOTA.0000037413.45495.00

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