期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 456, 期 2, 页码 1101-1122出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2017.07.019
关键词
Tame geometry; Multifunctions; Lojasiewicz inequality; Subdifferentials
资金
- Polish Ministry of Science and Higher Education [IP2011 009571]
We investigate several possibilities of obtaining a Lojasiewicz inequality for definable multifunctions and give some examples of applications thereof. In particular, we prove that the Hausdorff distance and its extension to closed sets is definable when composed with definable multifunctions. This allows us to obtain Lojasiewicz-type inequalities for definable multifunctions obtained from Clarke's subgradient or the tangent cone. The paper ends with a Lojasiewicz-type subgradient inequality in the spirit of Bolte-Daniilidis-Lewis-Shiota or Pham. (C) 2017 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据