Abstract

We provide a formulation for sweeping processes with arbitrary locally bounded retraction, not necessarily left or right continuous. Moreover we provide a proof of the existence and uniqueness of solutions for this formulation which relies on the reduction to the 1-Lipschitz continuous case by using a suitable family of geodesics for the asymmetric Hausdorff-like distance called excess.

Author information

Contact details are reproduced from the original publication and may be historical.

Keywords

  • Evolution variational inequalities
  • functions of bounded variation
  • sweeping processes
  • convex sets
  • retraction
  • geodesics with respect to the excess

Mathematics Subject Classification

34G25, 34A60, 47J20, 74C05

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Suggested citation

V. Recupero. “Convex Valued Geodesics and Applications to Sweeping Processes with Bounded Retraction.” Journal of Convex Analysis 27 (2020), No. 2, 535–556. https://doi.org/10.68381/jca27028

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