Unbounded Vectorial Cauchy Completion of Vector Metric Spaces

Çetin Cemal ÖZEKEN; Cüneyt ÇEVİK

doi:https://doi.org/10.35378/gujs.604784

Makale detayları

Unbounded Vectorial Cauchy Completion of Vector Metric Spaces

Yazarlar:

Çetin Cemal ÖZEKEN | Cüneyt ÇEVİK

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2020 Vol.33 Issue 3, pp.761-765

Belge Tipi:

Makale

Yayın Tarihi:

8/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000427781

eISSN:

2147-1762

DOI:

https://doi.org/10.35378/gujs.604784

Özet:

 


A sequence (an) in a Riesz space E is called uo-convergent (or unbounded order convergent) to a in E if  inf{|an-a|,u} is order convergent to 0 for all u in E+ and
unbounded order Cauchy (uo-Cauchy) if |an-an+p|is
uo-convergent to 0. In the first part of this study we define ud,E-convergence
(or unbounded vectorial convergence) in vector metric spaces, which is more
general than usual metric spaces, and examine relations between unbounded order
convergence, unbounded vectorial convergence, vectorial convergence and order
convergence. In the last part we construct the unbounded Cauchy completion of
vector metric spaces by the motivation of the fact that every metric space has
Cauchy completion. In this way, we have obtained a more general completion of
vector metric spaces.


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Makale detayları

Unbounded Vectorial Cauchy Completion of Vector Metric Spaces

Yazarlar: Çetin Cemal ÖZEKEN | Cüneyt ÇEVİK

Yayıncı: Gazi University

Ana Başlıklar: Uygulamalı fizik

Dergi: Gazi University Journal of Science 2020 Vol.33 Issue 3, pp.761-765

Belge Tipi: Makale

Yayın Tarihi: 8/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000427781

eISSN: 2147-1762

DOI: https://doi.org/10.35378/gujs.604784

Sayı

Yazarlar:

Çetin Cemal ÖZEKEN | Cüneyt ÇEVİK

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2020 Vol.33 Issue 3, pp.761-765

Belge Tipi:

Makale

Yayın Tarihi:

8/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000427781

eISSN:

2147-1762

DOI:

https://doi.org/10.35378/gujs.604784