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New Invexity-Type Conditions in Constrained Optimization

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Generalized Convexity and Generalized Monotonicity

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 502))

Abstract

In the present paper we define weaker invexity-type properties and examine the relationships between the new concepts and other similar conditions. One obtains in this way necessary and sufficient conditions for Kuhn-Tucker sufficiency. Moreover one proves that the same conditions are sufficient for Wolfe duality.

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References

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Author information

Authors and Affiliations

  1. Faculty of Economics, University of Messina, Italy

    Giuseppe Caristi & Massimiliano Ferrara

  2. Faculty of Mathematics, University of Bucharest, Romania

    Anton Stefanescu

Authors
  1. Giuseppe Caristi
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  2. Massimiliano Ferrara
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  3. Anton Stefanescu
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of the Aegean, 83200, Karlovassi/Samos, Greece

    Nicolas Hadjisavvas

  2. CODE and Department of Economics, Universitat Autonoma de Barcelona, 08193, Bellaterra, Spain

    Juan Enrique Martínez-Legaz

  3. Department of Mathematics Faculty of Sciences, Université de Pau, 64000, Pau, France

    Jean-Paul Penot

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© 2001 Springer-Verlag Berlin Heidelberg

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Caristi, G., Ferrara, M., Stefanescu, A. (2001). New Invexity-Type Conditions in Constrained Optimization. In: Hadjisavvas, N., Martínez-Legaz, J.E., Penot, JP. (eds) Generalized Convexity and Generalized Monotonicity. Lecture Notes in Economics and Mathematical Systems, vol 502. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56645-5_10

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  • DOI: https://doi.org/10.1007/978-3-642-56645-5_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41806-1

  • Online ISBN: 978-3-642-56645-5

  • eBook Packages: Springer Book Archive

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