Nonstandard completion of non-complete metric space
Joint Authors
Hasan, Ala O.
Hamad, Ibrahim O.
Source
ZANCO Journal of Pure and Applied Sciences
Issue
Vol. 33, Issue 4 (31 Aug. 2021), pp.129-135, 7 p.
Publisher
Salahaddin University-Erbil Department of Scientific Publications
Publication Date
2021-08-31
Country of Publication
Iraq
No. of Pages
7
Main Subjects
Abstract EN
Our aim in this study is to establishing nonstandard foundations, definitions and theorems for completion a noncomplete metric spaces.
we have a lot of space or sets x which agree with all usual properties of complete, except at a small size subset of it.
in this paper, by using nonstandard analysis tools founded by a.
Robinson and axiomatized by e.
nelson, we try to reformulate the definition of completion corresponding to nonstandard modified metric ̂, and to give a nonstandard form to the classical (standard) completion theorem and to use the power of nonstandard tools to overcome the incompetence of those spaces which has deprivation at a small size subset.
American Psychological Association (APA)
Hasan, Ala O.& Hamad, Ibrahim O.. 2021. Nonstandard completion of non-complete metric space. ZANCO Journal of Pure and Applied Sciences،Vol. 33, no. 4, pp.129-135.
https://search.emarefa.net/detail/BIM-1402762
Modern Language Association (MLA)
Hasan, Ala O.& Hamad, Ibrahim O.. Nonstandard completion of non-complete metric space. ZANCO Journal of Pure and Applied Sciences Vol. 33, no. 4 (2021), pp.129-135.
https://search.emarefa.net/detail/BIM-1402762
American Medical Association (AMA)
Hasan, Ala O.& Hamad, Ibrahim O.. Nonstandard completion of non-complete metric space. ZANCO Journal of Pure and Applied Sciences. 2021. Vol. 33, no. 4, pp.129-135.
https://search.emarefa.net/detail/BIM-1402762
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 134-135
Record ID
BIM-1402762