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Equilibrium set-valued variational principles and the lower boundedness condition with application to psychology

Author

Listed:
  • Jing-Hui Qiu

    (Soochow University)

  • Antoine Soubeyran

    (AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Fei He

    (Inner Mongolia Normal University [Hohhot])

Abstract

We first give a pre-order principle whose form is very general. Combining the pre-order principle and generalized Gerstewitz functions, we establish a general equilibrium version of set-valued Ekeland variational principle (denoted by EVP), where the objective function is a set-valued bimap defined on the product of quasi-metric spaces and taking values in a quasi-ordered linear space, and the perturbation consists of a subset of the ordering cone multiplied by the quasi-metric. From this, we obtain a number of new results which essentially improve the related results. Particularly, the earlier lower boundedness condition has been weakened. Finally, we apply the new EVPs to Psychology.

Suggested Citation

  • Jing-Hui Qiu & Antoine Soubeyran & Fei He, 2022. "Equilibrium set-valued variational principles and the lower boundedness condition with application to psychology," Post-Print hal-03784742, HAL.
    • Handle: RePEc:hal:journl:hal-03784742
    DOI: 10.1080/02331934.2022.2123240
    as

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