Lipschitz multivalued perturbations of integro-differential prox-regular sweeping processes
Optimization and Control
2024-07-24 v1
Abstract
Integro-differential sweeping processes with prox-regular sets in Hilbert spaces have been the subject of various recent studies. Diverse applications of such differential inclusions to complementarity problems, electrical circuits, frictionless contact, can be found in the literature. Here we provide a general theorem of existence of solution for such processes perturbed by a Lipschitz multimapping with nonconvex values.
Cite
@article{arxiv.2407.16304,
title = {Lipschitz multivalued perturbations of integro-differential prox-regular sweeping processes},
author = {Tahar Haddad and Sarra Gaouir and Lionel Thibault},
journal= {arXiv preprint arXiv:2407.16304},
year = {2024}
}
Comments
19 pages