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Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems

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Abstract

Conditions for the non-existence of a regular exceptional family of elements with respect to an isotone projection cone in a Hilbert space will be presented. The obtained results will be used for generating existence theorems for a complementarity problem with respect to an isotone projection cone in a Hilbert space.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, STN Forces, Royal Military College of Canada, P. O. Box 17000, Kingston, ON, K7K 7B4, Canada

    G. Isac

  2. School of Mathematics, The University of Birmingham, The Watson Building, Edgbaston, Birmingham, B15 2TT, UK

    S. Z. Németh

Authors
  1. G. Isac
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  2. S. Z. Németh
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Correspondence to G. Isac.

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Isac, G., Németh, S.Z. Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems. Optim Lett 2, 567–576 (2008). https://doi.org/10.1007/s11590-008-0083-8

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  • DOI: https://doi.org/10.1007/s11590-008-0083-8

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