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On semicoercive sweeping process with velocity constraint

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Abstract

In this note, by solving a variational inequality at each iteration, we study the existence of solutions for a class of sweeping processes with velocity in the moving set, originally introduced in a recent paper (Adly et al. in Math Program Ser B 148(1):5–47, 2014). Our aim is to improve Adly et al. (2014, Theorem 5.1) to allow possibly unbounded moving sets. The theoretical result is supported by some examples in nonregular electrical circuits.

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Acknowledgements

Research of Ba Khiet Le is supported by Fondecyt Postdoc Project 3150332.

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Authors and Affiliations

  1. XLIM UMR-CNRS 7252, Université de Limoges, 87060, Limoges, France

    Samir Adly

  2. Centro de Modelamiento Matemático (CMM), Universidad de Chile, Santiago, Chile

    Ba Khiet Le

Authors
  1. Samir Adly
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  2. Ba Khiet Le
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Correspondence to Samir Adly.

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Adly, S., Le, B.K. On semicoercive sweeping process with velocity constraint. Optim Lett 12, 831–843 (2018). https://doi.org/10.1007/s11590-017-1149-2

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  • DOI: https://doi.org/10.1007/s11590-017-1149-2

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