REGULARIZATION OF PERTURBED STATE-DEPENDENT SWEEPING PROCESSES WITH NONREGULAR SETS
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Titre | REGULARIZATION OF PERTURBED STATE-DEPENDENT SWEEPING PROCESSES WITH NONREGULAR SETS |
Type de publication | Journal Article |
Year of Publication | 2018 |
Auteurs | Vilches E |
Journal | JOURNAL OF NONLINEAR AND CONVEX ANALYSIS |
Volume | 19 |
Pagination | 633-651 |
Type of Article | Article |
ISSN | 1345-4773 |
Mots-clés | Clarke 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. |