Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Convex Analysis 28 (2021), No. 4, [final page numbers not yet available]
Copyright Heldermann Verlag 2021



Existence of Solutions Belonging to a Tube for Non-Convex Sweeping Processes

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



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.

Keywords: Differential inclusion, sweeping processes, solution tube, prox-regular sets, fixed point theorems.

MSC: 34A60, 47J20, 46N10.

[ Fulltext-pdf  (153  KB)] for subscribers only.