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.
Original languageEnglish
Pages (from-to)567-576
Number of pages10
JournalOptimization Letters
Volume2
Issue number4
Early online date16 Apr 2008
DOIs
Publication statusPublished - 1 Aug 2008

Keywords

  • Non-existence of a regular exceptional family of elements
  • Complementarity problems
  • Isotone projection cones

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