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Minimal points, variational principles, and variable preferences in set optimization

Author

Listed:
  • Truong Q. Bao
  • Boris S. Mordukhovich
  • Antoine Soubeyran

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

The paper is devoted to variational analysis of set-valued mappings acting from quasimetric spaces into topological spaces with variable ordering structures. Besides the mathematical novelty, our...

Suggested Citation

  • Truong Q. Bao & Boris S. Mordukhovich & Antoine Soubeyran, 2015. "Minimal points, variational principles, and variable preferences in set optimization," Post-Print hal-01457319, HAL.
    • Handle: RePEc:hal:journl:hal-01457319
    as

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    Citations

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    Cited by:

    1. Glaydston Carvalho Bento & João Xavier Cruz Neto & Antoine Soubeyran & Valdinês Leite Sousa Júnior, 2016. "Dual Descent Methods as Tension Reduction Systems," Journal of Optimization Theory and Applications, Springer, vol. 171(1), pages 209-227, October.
    2. Jing-Hui Qiu & Fei He & Antoine Soubeyran, 2017. "Equilibrium versions of variational principles in quasi-metric spaces and the robust trap problem," Post-Print hal-02084464, HAL.
    3. Jing-Hui Qiu & Antoine Soubeyran & Fei He, 2020. "Equilibrium versions of set-valued variational principles and their applications to organizational behavior," Post-Print hal-02465110, HAL.
    4. Truong Q. Bao & Antoine Soubeyran, 2016. "Variational Analysis in Cone Pseudo-Quasimetric Spaces and Applications to Group Dynamics," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 458-475, August.
    5. T. Q. Bao & S. Cobzaş & A. Soubeyran, 2018. "Variational principles, completeness and the existence of traps in behavioral sciences," Annals of Operations Research, Springer, vol. 269(1), pages 53-79, October.

    More about this item

    Keywords

    Economie quantitative;

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