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

Hosseini, Seyedehsomayeh; Pouryayevali, Mohamad

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

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

Authors: Seyedehsomayeh Hosseini and Mohamad R. Pouryayevali
Journal: Proc. Amer. Math. Soc. 141 (2013), 233-244
MSC (2010): Primary 49J52, 58C06, 58C20
Posted: September 10, 2012
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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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