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Some invariance properties of generalized monotonicity

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Generalized Convexity

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 405))

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Abstract

Recently, several kinds of generalized monotone maps have been introduced in [1] and related to generalized convex functions. Additional results, including a discussion of the use of generalized monotone maps, can be found in [4, 5]. We summarize below some of the results in [2] on invariance properties of generalized monotonicity. For proofs, details and additional results the reader is referred to [2].

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References

  1. Karamardian, S. and S. Schaible: Seven kinds of monotone maps, J. of Optimization Theory and Applications 66, 1990, 37–46.

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  2. Pini, R. and S. Schaible: Invariance properties of generalized monotonicity, submitted.

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  3. Schaible, S.: Quasiconvex, pseudoconvex and strictly pseudoconvex quadratic functions, J. of Optimization Theory and Applications 35, 1981, 303–338.

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  4. Schaible, S.: Generalized monotone maps and variational inequalities, Atti del Quattordicesimo Convegno A.M.A.S.E.S., Pescara, Sept. 1990, 597–607.

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  5. Schaible, S.: Generalized monotonicity-a survey, this volume.

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Author information

Authors and Affiliations

  1. Facolta di Economia e Commercio, Universita di Verona, 37129, Verona, Italy

    Rita Pini & Siegfried Schaible

  2. Graduate School of Management, University of California, Riverside, CA, 92521, USA

    Rita Pini & Siegfried Schaible

Authors
  1. Rita Pini
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  2. Siegfried Schaible
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Editor information

Editors and Affiliations

  1. Faculty of Economics, Janus Pannonius University, Rákóczi út 80, H-7621, Pécs, Hungary

    Sándor Komlósi

  2. Computer and Automation Institute, Hungary Academy of Sciences, P.O. Box 63, Kende u. 13-17, H-1518, Budapest, Hungary

    Tamás Rapcsák

  3. Graduate School of Management, University of California, 92521, Riverside, CA, USA

    Siegfried Schaible

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© 1994 Springer-Verlag Berlin Heidelberg

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Pini, R., Schaible, S. (1994). Some invariance properties of generalized monotonicity. In: Komlósi, S., Rapcsák, T., Schaible, S. (eds) Generalized Convexity. Lecture Notes in Economics and Mathematical Systems, vol 405. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46802-5_21

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  • DOI: https://doi.org/10.1007/978-3-642-46802-5_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57624-2

  • Online ISBN: 978-3-642-46802-5

  • eBook Packages: Springer Book Archive

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