Duality of Implicit Complementarity Problems by Using Inversions and Scalar Derivatives

G. Isac and S. Z. Németh
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G. Isac: Royal Military College of Canada
S. Z. Németh: Hungarian Academy of Sciences

Journal of Optimization Theory and Applications, 2006, vol. 128, issue 3, No 8, 633 pages

Abstract: Abstract The notion of infinitesimal exceptional family of elements for an ordered pair of mappings is introduced. By using a special inversion mapping, a duality between the exceptional family of elements for an ordered pair of mappings and the infinitesimal exceptional family of elements for an ordered pair of mappings is presented. By using this duality and the notion of scalar derivatives, existence theorems for implicit complementarity problems in Hilbert spaces are presented.

Keywords: Implicit complementarity problems; exceptional family of elements; infinitesimal exceptional family of elements; ordered pair of mappings; inversions; scalar derivatives (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9035-6

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