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