Abstract
AbstractThis paper is devoted to the study of the normal (tangential) regularity of a closed set and the subdifferential (directional) regularity of its distance function in the context of Riemannian manifolds. The Clarke, Fréchet and proximal subdifferentials of the distance function from a closed subset in a Riemannian manifold are represented by corresponding normal cones of the set.
Publisher
Cambridge University Press (CUP)
Reference31 articles.
1. On the metric projection onto prox-regular subsets of Riemannian manifolds
2. Sets with the unique footpoint property and phi-convex subsets of Riemannian manifolds;Pouryayevali;J. Convex Anal.,2019
3. Convexity of the distance function to convex subsets of Riemannian manifolds;Khajehpour;J. Convex Anal.,2019
4. On various notions of regularity of sets in nonsmooth analysis
5. Hermite–Hadamard and Ostrowski Type Inequalities on Hemispheres
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