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Operations Research ’92 pp 58–59Cite as

Generalized Monotone Maps

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  • 88 Accesses

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.

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References

  • Avriel M, Diewert W E, Schaible S, Zang I (1988) Generalized concavity. Plenum Publishing corporation New York

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  • Castagnoli E, Mazzoleni P (1989) Order-preserving functions and generalized convexity. Presented at the International Workshop on Generalized Convexity and Fractional Programming. University of California, Riverside

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  • Gowda M S (1990) Affine pseudomonotone mappings and the linear complementarity problem. SIAM Journal of Matrix Analysis and Applications

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  • Karamardian S, Schaible S (1990) Seven kinds of monotone maps. Journal of Optimization Theory and Applications 66:37–46

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  • Karamardian S, Schaible S, Crouzeix J P (1992) Characterizations of generalized monotone maps. Journal of optimization Theory and Applications. To appear

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  • Komlosi S (1991) Generalized monotonicity of generalized derivatives. Janus Pannonius University, Pécs/Hungary

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Author information

Authors and Affiliations

  1. Graduate School of Management, niversity of California, Riverside, CA, 92521, USA

    Siegfried Schaible

Authors
  1. Siegfried Schaible
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Editor information

Editors and Affiliations

  1. Sozialökonomisches Seminar, Universität Hamburg, Von-Melle-Park 5, D-2000, Hamburg 13, FRG

    Alexander Karmann

  2. Institut für Statistik und Quantitative Ökonomik, Universität Bundeswehr Hamburg, Holstenhofweg 85, D-2000, Hamburg 70, FRG

    Karl Mosler  & Götz Uebe  & 

  3. Lehrstuhl für Wirtschaftsinformatik III, Universität Mannheim, Schloß, D-6800, Mannheim, FRG

    Martin Schader

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© 1993 Springer-Verlag Berlin Heidelberg

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Cite this paper

Schaible, S. (1993). Generalized Monotone Maps. In: Karmann, A., Mosler, K., Schader, M., Uebe, G. (eds) Operations Research ’92. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12629-5_16

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  • DOI: https://doi.org/10.1007/978-3-662-12629-5_16

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0679-3

  • Online ISBN: 978-3-662-12629-5

  • eBook Packages: Springer Book Archive

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