ON THE REGULARITY OF SETS IN RIEMANNIAN MANIFOLDS

被引：2

作者：

SEPAHVAND, A. ^{[1
]}

BARANI, A. ^{[1
]}

机构：

[1] Lorestan Univ, Dept Math, POB 465, Khorramabad, Iran

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2021年 / 110卷 / 03期

关键词：

normal cone; normal regularity; subdifferential regularity; tangential regularity; directional regularity; Riemannian manifold; PHI-CONVEX SUBSETS; NONSMOOTH ANALYSIS; METRIC PROJECTION; DISTANCE FUNCTION; INEQUALITIES; LIPSCHITZ; HADAMARD;

D O I：

10.1017/S1446788720000105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This 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, Frechet and proximal subdifferentials of the distance function from a closed subset in a Riemannian manifold are represented by corresponding normal cones of the set.

引用

页码：386 / 405

页数：20

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