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Quasimonotonicity and Pseudomonotonicity in Variational Inequalities and Equilibrium Problems

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Generalized Convexity, Generalized Monotonicity: Recent Results

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 27))

Abstract

In this paper we survey results concerning major properties of variational inequality problems and equilibrium problems under generalized monotonicity assumptions rather than monotonicity. Scalar and vectorial versions of these models are considered. The analysis is done for both pseudomonotone and quasimonotone maps and their variants.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of the Aegean, Karlovassi, Samos, Greece

    Nicolas Hadjisavvas & Siegfried Schaible

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

    Siegfried Schaible

Authors
  1. Nicolas Hadjisavvas
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  2. Siegfried Schaible
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Editor information

Editors and Affiliations

  1. Université Blaise Pascal, Clermont-Ferrand, France

    Jean-Pierre Crouzeix

  2. Universitat Autònoma de Barcelona, Barcelona, Spain

    Juan-Enrique Martinez-Legaz

  3. Université d’Avignon, Avignon, France

    Michel Volle

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© 1998 Kluwer Academic Publishers. Printed in the Netherlands

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Hadjisavvas, N., Schaible, S. (1998). Quasimonotonicity and Pseudomonotonicity in Variational Inequalities and Equilibrium Problems. In: Crouzeix, JP., Martinez-Legaz, JE., Volle, M. (eds) Generalized Convexity, Generalized Monotonicity: Recent Results. Nonconvex Optimization and Its Applications, vol 27. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3341-8_11

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  • DOI: https://doi.org/10.1007/978-1-4613-3341-8_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3343-2

  • Online ISBN: 978-1-4613-3341-8

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