Coarsely Bilipschitz Continuity of Inversions with Respect to Distance Ratio Metrics in Metric Spaces

被引：0

作者：

Guan, Tiantian ^{[1
]}

Huang, Manzi ^{[2
,3
]}

Ponnusamy, Saminathan ^{[4
]}

Wang, Xiantao ^{[2
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

[2] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China

[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[4] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India

来源：

RESULTS IN MATHEMATICS | 2021年 / 76卷 / 01期

关键词：

Metric space inversion; coarsely bilipschitz continuity; distance ratio metric;

D O I：

10.1007/s00025-021-01352-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that the inversions in metric spaces are coarsely bilipschitz continuous with respect to distance ratio metric.

引用

页数：13

共 19 条

[1] Coarsely Bilipschitz Continuity of Inversions with Respect to Distance Ratio Metrics in Metric Spaces
Tiantian Guan
Manzi Huang
Saminathan Ponnusamy
Xiantao Wang
[J]. Results in Mathematics, 2021, 76
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[J]. MONATSHEFTE FUR MATHEMATIK, 2021, 195 (02): : 249 - 265
[8] The discrete degree of metric spaces and the Lipschitz-continuity of distance transforms
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[9] Multivalued Operator with Respect Generalized Distance on Menger Probabilistic Metric Spaces
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[J]. FILOMAT, 2016, 30 (07) : 1675 - 1682
[10] On Lipschitz continuity with respect to the Poincare metric of linear contractions between Mobius gyrovector spaces
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[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)

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