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Moreau–Yosida Regularization of Degenerate State-Dependent Sweeping Processes

Author

Listed:
  • Diana Narváez

    (Universidad de Chile
    Universidad de O’Higgins)

  • Emilio Vilches

    (Universidad de O’Higgins)

Abstract

In this paper, we introduce and study degenerate state-dependent sweeping processes with nonregular moving sets (subsmooth and positively $$\alpha $$ α -far). Based on the Moreau–Yosida regularization, we prove the existence of solutions under the Lipschitzianity of the moving sets with respect to the truncated Hausdorff distance.

Suggested Citation

  • Diana Narváez & Emilio Vilches, 2022. "Moreau–Yosida Regularization of Degenerate State-Dependent Sweeping Processes," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 910-930, June.
    • Handle: RePEc:spr:joptap:v:193:y:2022:i:1:d:10.1007_s10957-022-02030-1
    DOI: 10.1007/s10957-022-02030-1
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    References listed on IDEAS

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    1. Fatine Aliouane & Dalila Azzam-Laouir & Charles Castaing & Manuel D. P. Monteiro Marques, 2019. "Second-Order Time and State-Dependent Sweeping Process in Hilbert Space," Journal of Optimization Theory and Applications, Springer, vol. 182(1), pages 153-188, July.
    2. Tahar Haddad & Ilyas Kecis & Lionel Thibault, 2015. "Reduction of state dependent sweeping process to unconstrained differential inclusion," Journal of Global Optimization, Springer, vol. 62(1), pages 167-182, May.
    3. Abderrahim Jourani & Emilio Vilches, 2017. "Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets," Journal of Optimization Theory and Applications, Springer, vol. 173(1), pages 91-116, April.
    Full references (including those not matched with items on IDEAS)

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