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.

引用

页码：281 / 294

页数：14

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