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Journal of Convex Analysis 23 (2016), No. 4, 1051--1098
Copyright Heldermann Verlag 2016

Moreau Sweeping Process with Bounded Truncated Retraction

Lionel Thibault
Laboratoire d'Analyse Convexe, Dept. de Mathématique, Case 051, Université Montpellier II, Place E. Bataillon, 34095 Montpellier, France

The paper deals with sweeping process measure differential inclusions with data sets subject to the condition of bounded retraction along bounded truncation. Various basic properties are provided, and the existence and uniqueness of solution are established under the convexity of the data sets.

Keywords: Sweeping process, differential inclusion, bounded retraction along truncation, mapping of bounded variation, Radon measure, catching-up algorithm, normal cone, subdifferential.

MSC: 34A60, 49J52; 49J24, 49J53

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