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On the solvability of noncoercive linear variational inequalities in separable Hilbert spaces

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Abstract

In this paper, we build an existence theory for linear variational inequalities associated with an operator which generalizes in Hilbert space the class of copositive plus matrices. We show how this theory can be used to study some important engineering problems governed by noncoercive variational inequalities.

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Authors and Affiliations

  1. Département de Mathématiques, Facultés, Universitaires Notre-Dame de la Paix, Namur, Belgique

    D. Goeleven (Engineer and Assistant)

Authors
  1. D. Goeleven
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Additional information

Communicated by O. L. Mangasarian

Thanks are due to Professor V. H. Nguyen for many valuable discussions. The author thanks the Associate Editor and the referees for their helpful suggestions

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Goeleven, D. On the solvability of noncoercive linear variational inequalities in separable Hilbert spaces. J Optim Theory Appl 79, 493–511 (1993). https://doi.org/10.1007/BF00940555

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  • DOI: https://doi.org/10.1007/BF00940555

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