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Existence and Convergence of Pareto Minima

Author

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  • P. Oppezzi

    (Università di Genova)

  • A. M. Rossi

    (Universitá di Genova)

Abstract

In the context of vector optimization for functions with values in an ordered topological vector space, we give a result for the existence of global minima. Moreover, we find a set of conditions ensuring the convergence of minimal points and minimal values. More general assumptions are excluded by several counterexamples.

Suggested Citation

  • P. Oppezzi & A. M. Rossi, 2006. "Existence and Convergence of Pareto Minima," Journal of Optimization Theory and Applications, Springer, vol. 128(3), pages 653-664, March.
    • Handle: RePEc:spr:joptap:v:128:y:2006:i:3:d:10.1007_s10957-006-9038-3
    DOI: 10.1007/s10957-006-9038-3
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    References listed on IDEAS

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    1. E. Miglierina & E. Molho, 2002. "Scalarization and Stability in Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 114(3), pages 657-670, September.
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    Cited by:

    1. S. Li & W. Zhang, 2010. "Hadamard well-posed vector optimization problems," Journal of Global Optimization, Springer, vol. 46(3), pages 383-393, March.
    2. Maurizio Chicco & Anna Rossi, 2015. "Existence of Optimal Points Via Improvement Sets," Journal of Optimization Theory and Applications, Springer, vol. 167(2), pages 487-501, November.

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