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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.

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Authors and Affiliations

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

    G. Isac

  2. School of Mathematics, Laboratory of Operations Research and Decision Systems, Computer and Automation Institute, Hungarian Academy of Sciences, The University of Birmingham, The Watson Building, Edgbaston, Brimingham, B15 2TT, United Kingdom

    S. Z. Németh

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Isac, G., Németh, S.Z. Duality in Multivalued Complementarity Theory by Using Inversions and Scalar Derivatives. J Glob Optim 33, 197–213 (2005). https://doi.org/10.1007/s10898-004-0867-z

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