Metrically round and sleek metric spaces

被引：0

作者：

Singh, Jitender ^{[1
]}

Narang, T. D. ^{[1
]}

机构：

[1] Guru Nanak Dev Univ, Dept Math, Amritsar 143005, Punjab, India

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 01期

关键词：

Round metric; Sleek metric; Convexity; Linear metric space; CONVEXITY; SETS;

D O I：

10.1007/s41478-022-00459-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A round metric space is the one in which the closure of each open ball is the corresponding closed ball. By a sleek metric space, we mean a metric space in which the interior of each closed ball is the corresponding open ball. In this article, we establish some results on round metric spaces and sleek metric spaces.

引用

页码：551 / 567

页数：17

共 11 条

[1] BEST APPROXIMATION ON CONVEX-SETS IN METRIC LINEAR-SPACES [J].

AHUJA, GC ;

NARANG, TD ;

TREHAN, S .

MATHEMATISCHE NACHRICHTEN, 1977, 78 :125-130

[2]

ARTEMIAD.N, 1965, K NED AKAD VAN WET A, V68, P316

[3]

KHAMSI M.A., 2001, An Introduction to Metric Spaces and Fixed Point Theory

[4]

KIVENTIDIS T, 1988, INDIAN J PURE AP MAT, V19, P1077

[5] Investigations into general metrics [J].

Menger, K .

MATHEMATISCHE ANNALEN, 1928, 100 :75-163

[6]

Munkres J., 1984, Elements of Algebraic Topology

[7] ROUND METRIC SPACES [J].

NATHANSON, MB .

AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (07) :738-741

[8] UNIFORM CONVEXITY AND STRICT CONVEXITY IN METRIC LINEAR-SPACES [J].

SASTRY, KPR ;

NAIDU, SVR .

MATHEMATISCHE NACHRICHTEN, 1981, 104 :331-347

[9] Remarks on balls in metric spaces [J].

Singh, Jitender ;

Narang, T. D. .

JOURNAL OF ANALYSIS, 2021, 29 (04) :1093-1103

[10] TSCHEBYSCHEV SETS AND STRONG CONVEXITY OF METRIC LINEAR-SPACES [J].

VASILEV, AI .

MATHEMATICAL NOTES, 1979, 25 (5-6) :335-340

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