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Characterizations of relatively generalized monotone maps

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Listed:
  • E. Allevi
  • A. Gnudi
  • I. Konnov
  • S. Schaible

Abstract

New concepts of relative monotonicity were introduced in Konnov (Oper Res Lett 28:21–26, 2001a) which extend the usual ones. These concepts enable us to establish new existence and uniqueness results for variational inequality problems over product sets. This paper presents first-order characterizations of new (generalized) monotonicity concepts. Specialized results are obtained for the affine case. Copyright Springer-Verlag 2007

Suggested Citation

  • E. Allevi & A. Gnudi & I. Konnov & S. Schaible, 2007. "Characterizations of relatively generalized monotone maps," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(2), pages 293-303, April.
    • Handle: RePEc:spr:mathme:v:65:y:2007:i:2:p:293-303
    DOI: 10.1007/s00186-006-0115-z
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    References listed on IDEAS

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    1. X. Q. Yang & C. J. Goh, 1997. "On Vector Variational Inequalities: Application to Vector Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 95(2), pages 431-443, November.
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