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

  • Authors:

  • G. Isac;S. Z. Németh

  • Affiliations:

  • Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada K7K 7B;School of Mathematics, The University of Birmingham, Birmingham, UK B15 2TT

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2008

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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.