FIRST ORDER NONCONVEX SWEEPING PROCESS WITH SUBSMOOTH SETS

被引：0
|
作者：
Mecemma, Imene [1 ]
Lounis, Sabrina [1 ]
Yarou, Mustapha Fateh [1 ]
机构：
[1] Univ Jijel, Fac Exact Sci & Comp Sci, Dept Math, Lab LMPA, Jijel 18000, Algeria
来源：
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2023年 / 49卷 / 02期
关键词：
Sweeping process; subsmooth set; normal cone; Moreau's catching-up algorithm; EXISTENCE;
D O I：
10.30546/2409-4994.2023.49.2.281
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using a discretization approach, we discuss the existence of solutions for a class of first order nonconvex sweeping process depending on both time and state, with an unbounded perturba-tion in an infinite dimensional Hilbert space. We state a new existence result according to a class of subsmooth sets. An application is given on complementarity systems.
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页码：281 / 294
页数：14
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