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

Andrew Eberhard, Yousong Luo, Shuai Liu

Under the assumption of prox-regularity and the presence of a tilt stable local minimum we are able to show that a $\mathcal{V}\mathcal{U}$ like decomposition gives rise to the existence of…