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arXiv · 1602.07768

On Partial Smoothness, Tilt Stability and the $\mathcal{VU}$--Decomposition

Andrew Eberhard·Yousong Luo·Shuai Liu
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Abstract

Under the assumption of prox-regularity and the presence of a tilt stable local minimum we are able to show that a $\mathcal{VU}$ like decomposition gives rise to the existence of a smooth manifold on which the function in question coincides locally with a smooth function.

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Andrew Eberhard, Yousong Luo, Shuai Liu. 2017-04-06. On Partial Smoothness, Tilt Stability and the $\mathcal{VU}$--Decomposition. https://arxiv.org/abs/1602.07768

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