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Exceptional Families of Elements for Variational Inequalities in Banach Spaces

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Abstract

In keeping with very recent efforts to establish a useful concept of an exceptional family of elements for variational inequality problems rather than complementarity problems as in the past, we propose such a concept. It generalizes previous ones to multivalued variational inequalities in general normed spaces and allows us to obtain several existence results for variational inequalities corresponding to earlier ones for complementarity problems. Compared with the existing literature, we consider problems in more general spaces and under considerably weaker assumptions on the defining map.

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Authors and Affiliations

  1. Istituto di Econometria e Matematica per le Applicazioni Economiche, Finanziarie e Attuariali, Università Cattolica del Sacro Cuore, Milano, Italy

    M. Bianchi (Associate Professor)

  2. Department of Product and Systems Design Engineering, University of the Aegean, Hermoupolis, Syros, Greece

    N. Hadjisavvas (Professor)

  3. A.G. Anderson Graduate School of Management, University of California, Riverside, California

    S. Schaible (Professor)

Authors
  1. M. Bianchi
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  2. N. Hadjisavvas
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  3. S. Schaible
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Bianchi, M., Hadjisavvas, N. & Schaible, S. Exceptional Families of Elements for Variational Inequalities in Banach Spaces. J Optim Theory Appl 129, 23–31 (2006). https://doi.org/10.1007/s10957-006-9041-8

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  • DOI: https://doi.org/10.1007/s10957-006-9041-8

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