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Generalized Monotone Maps

  • Siegfried Schaible
Conference paper

Abstract

Generalized convex functions have been introduced, among others, to analyze nonconvex mathematical programming problems. Generalized monotone maps play a role in the study of nonmonotone complementarity problems and variational inequality problems.

References

  1. Avriel M, Diewert W E, Schaible S, Zang I (1988) Generalized concavity. Plenum Publishing corporation New YorkCrossRefGoogle Scholar
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  3. Gowda M S (1990) Affine pseudomonotone mappings and the linear complementarity problem. SIAM Journal of Matrix Analysis and ApplicationsGoogle Scholar
  4. Karamardian S, Schaible S (1990) Seven kinds of monotone maps. Journal of Optimization Theory and Applications 66:37–46CrossRefGoogle Scholar
  5. Karamardian S, Schaible S, Crouzeix J P (1992) Characterizations of generalized monotone maps. Journal of optimization Theory and Applications. To appearGoogle Scholar
  6. Komlosi S (1991) Generalized monotonicity of generalized derivatives. Janus Pannonius University, Pécs/HungaryGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Siegfried Schaible
    • 1
  1. 1.Graduate School of Managementniversity of CaliforniaRiversideUSA

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