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.
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页码：910 / 930
页数：21
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