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Pseudomonotone variational inequality problems: Existence of solutions

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Abstract

Necessary and sufficient conditions for the set of solutions of a pseudomonotone variational inequality problem to be nonempty and compact are given.

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Authors and Affiliations

  1. LIMOS, Université Blaise Pascal, 63177, Aubière Cedex, France

    Jean-Pierre Crouzeix

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  1. Jean-Pierre Crouzeix
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Additional information

This research was partially done while the author was visiting the University of Chile thanks to the support of an ECOS program.

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Crouzeix, JP. Pseudomonotone variational inequality problems: Existence of solutions. Mathematical Programming 78, 305–314 (1997). https://doi.org/10.1007/BF02614358

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  • DOI: https://doi.org/10.1007/BF02614358

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