Moreau–Yosida Regularization of Degenerate State-Dependent Sweeping Processes

Diana Narváez () and Emilio Vilches ()
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Diana Narváez: Universidad de Chile
Emilio Vilches: Universidad de O’Higgins

Journal of Optimization Theory and Applications, 2022, vol. 193, issue 1, No 37, 910-930

Abstract: Abstract In this paper, we introduce and study degenerate state-dependent sweeping processes with nonregular moving sets (subsmooth and positively $$\alpha $$ α -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.

Keywords: Moreau–Yosida regularization; Subsmooth sets; Degenerate sweeping process; Positively $$\alpha $$ α -far sets; Normal cone; 34A60; 49J52; 49J53 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10957-022-02030-1

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