Solarity of Chebyshev Sets in Dual Spaces and Uniquely Remotal Sets

被引：0

作者：

A. R. Alimov

机构：

[1] Faculty of Mechanics and Mathematics,

[2] Moscow State University,undefined

[3] Steklov Mathematical Institute of Russian Academy of Sciences,undefined

[4] Moscow Center of Fundamental and Applied Mathematics,undefined

来源：

Lobachevskii Journal of Mathematics | 2021年 / 42卷

关键词：

Chebyshev set; sun; best approximation; max-approximation; max-Chebyshev set; max-sun; unique furthest point problem; uniquely remotal set;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

引用

页码：785 / 790

页数：5

共 24 条

[1] Alimov A. R.(2019)Solarity of sets in max-approximation problems J. Fixed Point Theory Appl. 21 76-77
[2] Alimov A. R.(2016)Connectedness and solarity in problems of best and near-best approximation Russ. Math. Surv. 71 1-849
[3] Tsar’kov I. G.(2019)Chebyshev centres, Jung constants, and their applications Russ. Math. Surv. 74 775-802
[4] Alimov A. R.(1982)Weak continuity of a metric projection onto a bounded set in a Banach space Math. Notes 32 797-87
[5] Tsar’kov I. G.(1995)“Weak continuity of the metric projection onto subspaces,” Tr. Inst. Mat. Mekh UrO RAN 3 80-373
[6] Balaganskii V. S.(2001)Remotal sets revisted Taiwan. J. Math. 5 367-366
[7] Balaganskii V. S.(2010)Farthest points and strong convexity of sets Math. Notes 87 355-978
[8] Barotni M.(1997)Convexity and connectedness of Chebyshev sets and suns Fundam. Prikl. Mat. 3 967-222
[9] Papini P. L.(1999)Ninety years of the Brouwer fixed point theorem Vietnam J. Math. 27 187-457
[10] Ivanov G. E.(2017)Farthest point problem and J. Nonlin. Convex Anal. 18 451-1243