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Convergence of Minimal and Approximate Minimal Elements of Sets in Partially Ordered Vector Spaces

Author

Listed:
  • Loridan, P.
  • Morgan, J.
  • Raucci, R.

Abstract

IN this paper firstly, we obtain convergence results for a sequence of minimal elements of sets under assumptions of minimal character. Then, we present similar results for suitable notions of approximate minimal elements of sets.

Suggested Citation

  • Loridan, P. & Morgan, J. & Raucci, R., 1997. "Convergence of Minimal and Approximate Minimal Elements of Sets in Partially Ordered Vector Spaces," Papiers d'Economie Mathématique et Applications 97.94, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:fth:pariem:97.94
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    Citations

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    Cited by:

    1. G. De Marco & J. Morgan, 2010. "Kalai-Smorodinsky Bargaining Solution Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 145(3), pages 429-449, June.
    2. César Gutiérrez & Enrico Miglierina & Elena Molho & Vicente Novo, 2016. "Convergence of Solutions of a Set Optimization Problem in the Image Space," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 358-371, August.
    3. Miglierina Enrico & Molho Elena & Rocca Matteo, 2004. "Well-posedness and scalarization in vector optimization," Economics and Quantitative Methods qf0403, Department of Economics, University of Insubria.

    More about this item

    Keywords

    CONVERGENCE;

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General

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