Lipschitz Multivalued Perturbations of Integro-differential Prox-Regular Sweeping Processes

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 provi...

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Bibliographic Details
Published inApplied mathematics & optimization Vol. 91; no. 3; p. 61
Main Authors Haddad, Tahar, Gaouir, Sarra, Thibault, Lionel
Format Journal Article
LanguageEnglish
Published New York Springer US 01.06.2025
Springer Nature B.V
Subjects
Applied mathematics
Calculus of Variations and Optimal Control; Optimization
Circuits
Control
Electric contacts
Frictionless contact
Hilbert space
Inclusions
Mathematical and Computational Physics
Mathematical functions
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Optimization
Simulation
Sweeping
Systems Theory
Theoretical
74M10
74G25
Lipschitz mapping
47J20
49J40
Prox-regular set
Proximal normal
74M15
Lipschitz multimapping
Sweeping process
Volterra integral
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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:0095-4616
1432-0606
DOI:10.1007/s00245-025-10258-2