NONCONVEX SWEEPING PROCESS AND PROX-REGULARITY IN HILBERT SPACE

被引：0

作者：

Bounkhel, Messaoud ^{[1
]}

Thibault, Lionel ^{[2
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

[2] Univ Montpellier 2, Dept Math, F-34095 Montpellier, France

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2005年 / 6卷 / 02期

关键词：

prox-regular set; nonconvex sweeping process;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several papers have been recently devoted to properties of prox-regular (or proximally smooth) nonconvex sets in Hilbert spaces. Motivated by the study of differential inclusions defined by nonconvex sweeping process, we establish new characterizations of prox-regular sets S in terms of the subdifferential of the distance function d(s) associated with S. Using these characterizations we prove an existence result of the perturbed nonconvex sweeping process in Hilbert space.

引用

页码：359 / 374

页数：16