Moreau-Yosida Regularization of Degenerate State-Dependent Sweeping Processes

被引：3

作者：

Narvaez, Diana ^{[1
,2
]}

Vilches, Emilio ^{[2
]}

机构：

[1] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[2] Univ OHiggins, Inst Ciencias Ingn, Rancagua, Chile

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2022年 / 193卷 / 1-3期

关键词：

Moreau-Yosida regularization; Subsmooth sets; Degenerate sweeping process; Positively alpha-far sets; Normal cone; DIFFERENTIABILITY; SET;

D O I：

10.1007/s10957-022-02030-1

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce and study degenerate state-dependent sweeping processes with nonregular moving sets (subsmooth and positively alpha-far). Based on the Moreau-Yosida regularization, we prove the existence of solutions under the Lipschitzianity of the moving sets with respect to the truncated Hausdorff distance.

引用

页码：910 / 930

页数：21

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