Duality in multivalued complementarity theory by using inversions and scalar derivatives

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Abstract

We present in this paper several results related to the study of multivalued complementarity problems. Our results are based on the notions of exceptional family of elements and infinitesimal exceptional family of elements. A duality between these notions and the scalar derivatives are also used. The duality is achieved by using inversions.
Original languageEnglish
Pages (from-to)197-213
Number of pages17
JournalJournal of Optimization Theory and Applications
Volume33
DOIs
Publication statusPublished - 1 Oct 2005

Keywords

  • multivalued complementarity problems
  • exceptional family of elements
  • scalar derivatives
  • infinitesimal exceptional family of elements
  • inversions

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