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Optimization pp 141–145Cite as

Note on pareto optimality and duality for certain nonlinear systems

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1405))

Abstract

We characterize the inconsistency of certain nonlinear systems under mild convexity requirements and without need for a regularity assumption. The result is used to establish a duality result for Pareto optimal points.

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References

  1. Heinecke, G., Oettli, W., A nonlinear theorem of the alternative without regularity assumption, J. Math. Anal. Appl. (to appear).

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  6. Singer, I., Optimization by level set methods I: Duality formulae, in: Optimization (ed. by J.-B. Hiriart-Urruty, W. Oettli, J. Stoer), 13–43, New York (1983).

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Author information

Authors and Affiliations

  1. Lehrstuhl für Mathematik VII, Universität Mannheim, Postfach 10 34 62, D-6800, Mannheim 1, F.R.G.

    Werner Oettli

Authors
  1. Werner Oettli
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Szymon Dolecki

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© 1989 Springer Verlag

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Oettli, W. (1989). Note on pareto optimality and duality for certain nonlinear systems. In: Dolecki, S. (eds) Optimization. Lecture Notes in Mathematics, vol 1405. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083591

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  • DOI: https://doi.org/10.1007/BFb0083591

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51970-6

  • Online ISBN: 978-3-540-46867-7

  • eBook Packages: Springer Book Archive

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