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.
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页码：386 / 405
页数：20
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