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The non-existence of a regular exceptional family of elements. A necessary and sufficient condition. Applications to complementarity theory

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Abstract

This paper is the second part of our recent work [Isac and Németh, J Optim Theory Appl (forthcoming)]. Our goal is now to present some new results related to the non-existence of a regular exceptional family of elements (REFE) for a mapping and to show how can they be applied to complementarity theory.

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Authors and Affiliations

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

    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 S. Z. Németh.

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Isac, G., Németh, S.Z. The non-existence of a regular exceptional family of elements. A necessary and sufficient condition. Applications to complementarity theory. J Glob Optim 42, 359–368 (2008). https://doi.org/10.1007/s10898-008-9296-8

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  • DOI: https://doi.org/10.1007/s10898-008-9296-8

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