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On the convergence of sequences of convex sets in finite dimensions

Author

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  • SALINETTI, Gabriella
  • WETS, Roger J.-B.

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Suggested Citation

  • SALINETTI, Gabriella & WETS, Roger J.-B., 1979. "On the convergence of sequences of convex sets in finite dimensions," LIDAM Reprints CORE 352, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:352
    DOI: 10.1137/1021002
    Note: In : SIAM Review, 21(1), 18-33, 1979
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    Cited by:

    1. Alberto Del Pia & Robert Weismantel, 2016. "Relaxations of mixed integer sets from lattice-free polyhedra," Annals of Operations Research, Springer, vol. 240(1), pages 95-117, May.
    2. C. S. Lalitha & Prashanto Chatterjee, 2015. "Stability and Scalarization in Vector Optimization Using Improvement Sets," Journal of Optimization Theory and Applications, Springer, vol. 166(3), pages 825-843, September.
    3. Giovanna Redaelli, 1998. "Convergence problems in stochastic programming models with probabilistic constraints," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 21(1), pages 147-164, June.
    4. Luis González-De La Fuente & Alicia Nieto-Reyes & Pedro Terán, 2022. "Properties of Statistical Depth with Respect to Compact Convex Random Sets: The Tukey Depth," Mathematics, MDPI, vol. 10(15), pages 1-23, August.
    5. Annamaria Barbagallo & Paolo Mauro, 2012. "Evolutionary Variational Formulation for Oligopolistic Market Equilibrium Problems with Production Excesses," Journal of Optimization Theory and Applications, Springer, vol. 155(1), pages 288-314, October.
    6. Bogdan Grechuk & Andrzej Palczewski & Jan Palczewski, 2018. "On the solution uniqueness in portfolio optimization and risk analysis," Papers 1810.11299, arXiv.org, revised Oct 2020.
    7. Annamaria Barbagallo & Serena Guarino Lo Bianco, 2020. "On ill-posedness and stability of tensor variational inequalities: application to an economic equilibrium," Journal of Global Optimization, Springer, vol. 77(1), pages 125-141, May.
    8. Annamaria Barbagallo & Stéphane Pia, 2015. "Weighted Quasi-Variational Inequalities in Non-pivot Hilbert Spaces and Applications," Journal of Optimization Theory and Applications, Springer, vol. 164(3), pages 781-803, March.
    9. Rida Laraki & William D. Sudderth, 2004. "The Preservation of Continuity and Lipschitz Continuity by Optimal Reward Operators," Mathematics of Operations Research, INFORMS, vol. 29(3), pages 672-685, August.
    10. Grechuk, Bogdan, 2023. "Extended gradient of convex function and capital allocation," European Journal of Operational Research, Elsevier, vol. 305(1), pages 429-437.
    11. Salonen, Hannu, 1998. "Egalitarian solutions for n-person bargaining games," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 291-306, May.
    12. Alberto Del Pia, 2012. "On the Rank of Disjunctive Cuts," Mathematics of Operations Research, INFORMS, vol. 37(2), pages 372-378, May.

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