APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
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DOI：
10.1070/rm1973v028n06abeh001624
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发表时间：
1973-12
影响因子：
0.9
通讯作者：
L. P. Vlasov
中科院分区：
文献类型：
--
作者：
L. P. Vlasov
本文给出了Chebyshev集及其相关问题的结果。它主要是证明Chebyshev集的连通性、“solarity”和凸性以及它们在附加假设下的推广。也被认为是某些问题的近似紧凑性，连续性的度量投影，和各种近似几何性质的集合。我们研究了“太阳”和“太阳”凸性条件之间的关系。对有关上述主题的论文进行了综述。
This article presents results on Chebyshev sets and related questions. It is mainly concerned with proving the connectedness, "solarity" and convexity of Chebyshev sets and their generalizations under additional assumptions. Also considered are certain questions of approximative compactness, continuity of the metric projection, and various approximative-geometric properties of sets. We study the relationships between "suns" and conditions for the convexity of "suns". Papers on the above topics are surveyed.