Geodesic
Existence of Solutions Belonging to a Tube for Non-Convex Sweeping Processes
Journal of convex analysis, Tome 28 (2021) no. 4, pp. 1137-1154
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We establish existence results of solutions belonging to a tube for non-convex sweeping processes. Our approach mainly combines features belonging to the class of prox-regular sets, sweeping processes associated with this type of sets and fixed point theorems techniques.
Classification : 34A60, 47J20, 46N10
Mots-clés : Differential inclusion, sweeping processes, solution tube, prox-regular sets, fixed point theorems 
@article{JCA_2021_28_4_JCA_2021_28_4_a7,
     author = {W. Latreche and O. S. Serea},
     title = {Existence of {Solutions} {Belonging} to a {Tube} for {Non-Convex} {Sweeping} {Processes}},
     journal = {Journal of convex analysis},
     pages = {1137--1154},
     year = {2021},
     volume = {28},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2021_28_4_JCA_2021_28_4_a7/}
}
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W. Latreche; O. S. Serea. Existence of Solutions Belonging to a Tube for Non-Convex Sweeping Processes. Journal of convex analysis, Tome 28 (2021) no. 4, pp. 1137-1154. http://geodesic.mathdoc.fr/item/JCA_2021_28_4_JCA_2021_28_4_a7/