Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets

Abderrahim Jourani 1, * Emilio Vilches 2
* Auteur correspondant
1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 DIM - Departamento de Ingeniería Matemática [Santiago]
Abstract : The existence and the convergence (up to a subsequence) of the Moreau-Yosida regularization for the state-dependent sweeping process with nonregular (subsmooth and positively alpha-far) sets are established. Then, by a reparametrization technique, the existence of solutions for bounded variation continuous state-dependent sweeping processes with nonregular (subsmooth and positively alpha-far) sets is proved. An application to vector hysteresis is discussed, where it is shown that the Play operator with positively alpha-far sets is well defined for bounded variation continuous inputs.
Keywords : Variational-inequalities Differential-inclusions Moreau-Yosida regularization Subsmooth sets Sweeping process Positively alpha-far sets Measure differential inclusions Play operator Hilbert-spaces Bv solutions Perturbation Existence
Type de document :
Article dans une revue
Journal of Optimization Theory and Applications, Springer Verlag, 2017, 173 (1), pp.91 - 116. 〈10.1007/s10957-017-1083-6〉
Liste complète des métadonnées
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01551688
Contributeur : Imb - Université de Bourgogne <>
Soumis le : vendredi 30 juin 2017 - 14:18:55
Dernière modification le : jeudi 11 janvier 2018 - 06:20:36

Identifiants

Collections

INSMI | IMB_UMR5584

Citation

Abderrahim Jourani, Emilio Vilches. Moreau-Yosida Regularization of State-Dependent Sweeping Processes with Nonregular Sets. Journal of Optimization Theory and Applications, Springer Verlag, 2017, 173 (1), pp.91 - 116. 〈10.1007/s10957-017-1083-6〉. 〈hal-01551688〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

71

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD