Abstract

We establish existence results of solutions belonging to a tube for non-convex sweeping processes. Our approach mainly combines features belonging to the class of prox-regular sets, sweeping processes associated with this type of sets and fixed point theorems techniques.

Author information

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

Wissam Latreche

Department of Mathematics, Faculty of Exact Sciences, Frères Mentouri University, Constantine, Algeria
and: Laboratoire de Mathématique et Physique, Université de Perpignan, France

w.latreche@gmail.com

Oana Silvia Serea

Department of Computer Science, Electrical Engineering and Mathematical Sciences, Western Norway University of Applied Sciences, Bergen, Norway
and: Laboratoire de Mathématique et Physique, Université de Perpignan, France

oss@hvl.no

Keywords

  • Differential inclusion
  • sweeping processes
  • solution tube
  • prox-regular sets
  • fixed point theorems

Mathematics Subject Classification

34A60, 47J20, 46N10

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Suggested citation

W. Latreche, O. S. Serea. “Existence of Solutions Belonging to a Tube for Non-Convex Sweeping Processes.” Journal of Convex Analysis 28 (2021), No. 4, 1137–1154. https://doi.org/10.68381/jca28066

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