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Prox-Regular Integro-Differential Sweeping Process

Author

Listed:
  • Sarra Gaouir

    (Université Mohammed Seddik Benyahia)

  • Tahar Haddad

    (Université Mohammed Seddik Benyahia)

  • Lionel Thibault

    (Université de Montpellier)

Abstract

The present paper analyzes and provides the existence of solutions to integro-differential sweeping processes involving perturbations with multimappings. The closed moving sets describing the processes are non-convex and only assumed to be prox-regular sets.

Suggested Citation

  • Sarra Gaouir & Tahar Haddad & Lionel Thibault, 2024. "Prox-Regular Integro-Differential Sweeping Process," Journal of Optimization Theory and Applications, Springer, vol. 203(2), pages 1413-1438, November.
  • Handle: RePEc:spr:joptap:v:203:y:2024:i:2:d:10.1007_s10957-024-02472-9
    DOI: 10.1007/s10957-024-02472-9
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    References listed on IDEAS

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    1. Abderrahim Bouach & Tahar Haddad & Lionel Thibault, 2022. "On the Discretization of Truncated Integro-Differential Sweeping Process and Optimal Control," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 785-830, June.
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