Continuity of the Metric Projection and Local Solar Properties of SetsContinuity of the Metric Projection and Solar Properties

被引：0
作者：
A. R. Alimov
机构：
[1] Moscow State University,Faculty of Mechanics and Mathematics
[2] Russian Academy of Sciences,Steklov Mathematical Institute
来源：
Set-Valued and Variational Analysis | 2019年 / 27卷
关键词：
Chebyshev set; Sun; Strict sun; Radial continuity; Bounded solarity; Selection of the metric projection operator; Best approximation; Near-best approximation; 41A65; 54C65;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper is concerned with local approximative and geometric properties of sets, with particular emphasis on strict solarity of such sets under certain constraints on the continuity of metric projections. A partial answer is given to the question due to B. Brosowski and F. Deutsch as to when the class of strict protosuns (Kolmogorov sets) coincides with the class of sets with outer radially continuous metric projection. The lower semi-continuous metric projection with monotone path-connected values is shown to have a continuous selection. A number of related results is obtained.
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页码：213 / 222
页数：9
相关论文
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