On the metric projection onto prox-regular subsets of Riemannian manifolds

Hosseini, Seyedehsomayeh; Pouryayevali, Mohamad

doi:10.1090/S0002-9939-2012-11828-3

On the metric projection onto prox-regular subsets of Riemannian manifolds
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by Seyedehsomayeh Hosseini and Mohamad R. Pouryayevali PDF

Proc. Amer. Math. Soc. 141 (2013), 233-244 Request permission

Abstract:

Prox-regular subsets of Riemannian manifolds are introduced. A characterization of prox-regular sets based on the hypomonotonicity of the truncated limiting normal cone is obtained. Moreover, some properties of metric projection mapping and distance function corresponding to the prox-regular sets are presented.

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