Bourbaki completeness in quasi metric spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2019 Turkey Publisher:Mathematical Research PressJournal:Journal of Nonlinear Functional Analysis, volume 2,019 (eissn: 2052-532X,

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Authors: İlkhan, Merve; Kara, Emrah Evren;

doi: 10.23952/jnfa.2019.33

handle: 20.500.12684/2956

Bourbaki completeness in quasi metric spaces

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Abstract

The main purpose of this paper is to define a new type of boundedness in a quasi metric space. We introduce some new notions of completeness by clustering sequences belonging to the classes larger than the classes of Cauchy sequences in some sense. We also obtain some interesting results related to the compactness.

Country

Turkey

Related Organizations

Duzce University
Turkey

Keywords

Asymmetric norm, Boundedness, Compactness, Quasi metric

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