Subdifferentials of Distance Function Outside of Target Set in Riemannian Manifolds

被引：0
作者：
Fatema Malmir
Ali Barani
机构：
[1] Lorestan University,Department of Mathematics, Faculty of Science
来源：
Bulletin of the Iranian Mathematical Society | 2022年 / 48卷
关键词：
Fréchet subdifferential; Proximal subdifferential; Distance function; Regularity; Riemannian manifold; 58C99; 35J60;
D O I：
暂无
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学科分类号：
摘要：
In this paper some subdifferentials of distance function from a closed subset in points outside of the target set are introduced in the context of Riemannian manifolds. The subdifferential regularities of distance function dS\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d_{S}$$\end{document} and normal regularities of enlargements of a set S are also studied in this setting.
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页码：367 / 383
页数：16
相关论文
共 35 条
  • [1] Azagra D(2005)Proximal calculus on Riemannian manifolds Mediterr. J. Math. 2 437-450
  • [2] Ferrera J(2005)Nonsmooth Analysis and Hamilton-Jacobi equation on Riemannian manifolds J. Funct. Anal. 220 304-361
  • [3] Azagra D(2018)Subdifferentials of perturbed distance function in Riemannian manifolds Optimization 67 1849-1868
  • [4] Ferrera J(2013)On the metric projection onto Rev. Mat. Complut. 26 815-826
  • [5] Lopez-Mesas F(2016)convex subsets of Hadamard manifolds Mediterr. J. Math. 13 4253-4263
  • [6] Barani A(2002)Hermite-Hadamard and Ostrowski type inequalities on hemispheres Nonlinear Anal. 48 223-246
  • [7] Barani A(1995)On various notions of regularity of sets in nonsmooth analysis J. Convex Anal. 2 117-144
  • [8] Hosseini S(2001)Proximal smoothness and the lower J. Convex Anal. 8 197-222
  • [9] Pouryayevali MR(2020) property J. Global Optim. 77 661-685
  • [10] Barani A(1989)Variational inequalities and regularity properties of closed sets in Hilbert spaces Bull. Aust. Math. Soc. 39 233-238
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