Chebyshev sets in geodesic spaces

被引：9

作者：

Ariza-Ruiz, David ^{[1
]}

Fernandez-Leon, Aurora ^{[1
]}

Lopez-Acedo, Genaro ^{[1
]}

Nicolae, Adriana ^{[2
]}

机构：

[1] Univ Seville, Dept Anal Matemat, Apdo 1160, E-41080 Seville, Spain

[2] Univ Babes Bolyai, Dept Math, Kogalniceanu 1, Cluj Napoca 400084, Romania

来源：

JOURNAL OF APPROXIMATION THEORY | 2016年 / 207卷

关键词：

Chebyshev set; Metric projection; Geodesic space of bounded curvature; Convexity;

D O I：

10.1016/j.jat.2016.02.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study several properties of Chebyshev sets in geodesic spaces. We focus on analyzing if some well-known results that characterize convexity of such sets in Hilbert spaces are also valid in the setting of geodesic spaces with bounded curvature. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：265 / 282

页数：18

共 39 条

[1] Alexandrov A.D., 1951, T MAT I STEKLOVA, V38, P5
[2] [Anonymous], SOV MATH DOKL
[3] [Anonymous], 1947, MAT TIDSSKRIFT B
[4] [Anonymous], 1999, METRIC SPACES NONPOS
[5] [Anonymous], 1964, REV ROUM MATH PURES
[6] [Anonymous], 1934, ACTA ACIENT
[7] [Anonymous], 1970, GRUNDLEHREN MATH WIS
[8] The Schauder fixed point theorem in geodesic spaces
Ariza-Ruiz, David
Li, Chong
Lopez-Acedo, Genaro
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 417 (01) : 345 - 360
[9] INVARIANT SUBSPACES OF COMPLETELY CONTINUOUS OPERATORS
ARONSZAJN, N
SMITH, KT
[J]. ANNALS OF MATHEMATICS, 1954, 60 (02) : 345 - 350
[10] CEBYSEV SETS IN HILBERT SPACE
ASPLUND, E
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 144 (OCT) : 235 - &

← 1 2 3 4 →