Search results for "Clarke normal cone"

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Regularization of perturbed state-dependent sweeping processes with nonregular sets

2018

International audience; In this paper, we prove the convergence strongly pointwisely (up to a subsequence) of Moreau-Yosida regularization of perturbed state-dependent sweeping process with nonregular (subsmooth and positively alpha-far) sets in separable Hilbert spaces. Some relevant consequences are indicated.

Positively alpha-far sets[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]MSC: 34A60 49J52 34G25 49J53Moreau-Yosida regularizationDifferential inclusions[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Subsmooth setsSweeping processClarke normal cone
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