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arXiv · 2108.07515

On the Solution Existence for Prox-Regular Perturbed Sweeping Processes

Nguyen Khoa Son·Nguyen Nang Thieu·Nguyen Dong Yen
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Abstract

In the setting adopted by Edmond and Thibault [Mathematical Programming 104 (2005), 347--373], we study a class of perturbed sweeping processes. Under suitable assumptions, we obtain two solution existence theorems for perturbed sweeping processes with the constraint sets being prox-regular sublevel sets. The results are applied to analyzing the behavior of some concrete mechanical sweeping processes, which appear for the first time in this paper.

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Nguyen Khoa Son, Nguyen Nang Thieu, Nguyen Dong Yen. 2021-08-17. On the Solution Existence for Prox-Regular Perturbed Sweeping Processes. https://arxiv.org/abs/2108.07515

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