REGULARIZATION OF PERTURBED STATE-DEPENDENT SWEEPING PROCESSES WITH NONREGULAR SETS

Affiliation auteurs!!!! Error affiliation !!!!
TitreREGULARIZATION OF PERTURBED STATE-DEPENDENT SWEEPING PROCESSES WITH NONREGULAR SETS
Type de publicationJournal Article
Year of Publication2018
AuteursVilches E
JournalJOURNAL OF NONLINEAR AND CONVEX ANALYSIS
Volume19
Pagination633-651
Type of ArticleArticle
ISSN1345-4773
Mots-clésClarke normal cone, differential inclusions, Moreau-Yosida regularization, Positively alpha-far sets, Subsmooth sets, Sweeping process
Résumé

In this paper, we prove the convergence strongly pointwisely (up to a subsequence) of Moreau-Yosida regularization of perturbed state-dependent sweeping process with nonregular (subsmooth and positively alpha-far) sets in separable Hilbert spaces. Some relevant consequences are indicated.