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Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

A new kind of topological vector space via proximit structure

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* Corresponding author · click or hover a name for details

pp. 1065–1075Vol. 26Issue 6September 2023DOI: 10.47974/JIM-1606XML
Published Online:
03 Aug 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1606
Pages:
1065–1075

Abstract

The concepts of Dh-contraction, proximit semigroup, proximit group, proximit vector space and topological proximit space are introduced. There are a few instances and properties provided. Convergence and Sequential Dh-contraction are both specified, in addition to the terms Dh-contraction and Sequential Dh-contraction are interchangeable.

Keywords

Subject Classifications

Primary 15A60Secondary 47H0946A99

Acknowledgements

FRH-P903H60

References

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