On Evolution Equations Having Hypomonotonicities of Opposite Sign Governed by Sweeping Processes

Chems Eddine Arroud () and Tahar Haddad ()
Additional contact information
Chems Eddine Arroud: Université de Jijel
Tahar Haddad: Université de Jijel

Journal of Optimization Theory and Applications, 2019, vol. 180, issue 2, No 14, 634-650

Abstract: Abstract We prove the local existence of solutions of a sweeping process involving a locally prox-regular set of constraints with an upper semicontinuous set-valued perturbation contained in the Clarke subdifferential of a nonconvex function. The study requires the quantified concept of local prox-regularity for the set of constraints. This paper can be considered as an improvement of previous works, since this existence (local) result is established without compactness condition on the set of constraints.

Keywords: Sweeping process; Upper semicontinuous set-valued mapping; Differential inclusion; Subdifferential; 34A60; 434K05; 47J22; 49J52 (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-018-1423-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:180:y:2019:i:2:d:10.1007_s10957-018-1423-1

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-018-1423-1

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().