Is There Any Metric Line Which Can Be Represented By A Single Fixed Point?

Oğuzhan Demirel

doi:10.33484/sinopfbd.469669

Is There Any Metric Line Which Can Be Represented By A Single Fixed Point?

Öz

In this paper, determining metric lines in Levenberg plane, a special metric line example which can be written by using a single fixed point is presented. Moreover, we prove nonexistence of periodic lines in Levenberg plane and give a problem whether there exist a distance space in which periodic lines written by using a single fixed point?

Anahtar Kelimeler

Metric spaces,functional equations of metric and periodic lines and their solutions,Levenberg plane

Kaynakça

[1] Benz, W., Metric and periodic lines in real inner product space geometries. Monatsh. Math.141 (2004), no. 1, 1–10.
[2] Benz, W., Classical Geometries in Modern Contexts, Birkhauser, 2007.
[3] Blumenthal LM, Menger K (1970) Studies in Geometry. San Francisco: Freeman.
[4] Demirel, O., Seyrantepe E.S, Sönmez, N., Metric and periodic lines in the Poincare ball modelof hyperbolic geometry, Bull. Iran. Math. Soc. 38 (2012), no. 3, 805–815.
[5] Demirel, O., Seyrantepe E.S, The cogyrolines of Möbius gyrovector spaces are metric but notperiodic, Aequationes Math. 85 (2013), no. 1-2, 185–200.
[6] Gelisgen, O., On the Congruence of Triangles in Levenberg Plane, Dumlupinar ¨ Universitesi ¨Fen Bilimleri Enstitüsü 14, 2007.
[7] Höfer, R., Metric lines in Lorentz-Minkowski geometry, Aequationes Math. 71 (2006), no. 1-2,162–173.
[8] Höfer, R., Metric and Periodic lines in de Sitter’s World, J.Geom. 90 (2008), 66–82.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Oğuzhan Demirel ^*
Türkiye

Yayımlanma Tarihi

27 Haziran 2019

Gönderilme Tarihi

11 Ekim 2018

Kabul Tarihi

8 Mart 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 4 Sayı: 1

DOI

https://doi.org/10.33484/sinopfbd.469669

IZ

https://izlik.org/JA49KN33PX

Kaynak Göster

RIS / Bibtex

APA

Demirel, O. (2019). Is There Any Metric Line Which Can Be Represented By A Single Fixed Point? Sinop Üniversitesi Fen Bilimleri Dergisi, 4(1), 54-62. https://doi.org/10.33484/sinopfbd.469669

AMA

1.Demirel O. Is There Any Metric Line Which Can Be Represented By A Single Fixed Point? Sinopfbd. 2019;4(1):54-62. doi:10.33484/sinopfbd.469669

Chicago

Demirel, Oğuzhan. 2019. “Is There Any Metric Line Which Can Be Represented By A Single Fixed Point?”. Sinop Üniversitesi Fen Bilimleri Dergisi 4 (1): 54-62. https://doi.org/10.33484/sinopfbd.469669.

EndNote

Demirel O (01 Haziran 2019) Is There Any Metric Line Which Can Be Represented By A Single Fixed Point? Sinop Üniversitesi Fen Bilimleri Dergisi 4 1 54–62.

IEEE

[1]O. Demirel, “Is There Any Metric Line Which Can Be Represented By A Single Fixed Point?”, Sinopfbd, c. 4, sy 1, ss. 54–62, Haz. 2019, doi: 10.33484/sinopfbd.469669.

ISNAD

Demirel, Oğuzhan. “Is There Any Metric Line Which Can Be Represented By A Single Fixed Point?”. Sinop Üniversitesi Fen Bilimleri Dergisi 4/1 (01 Haziran 2019): 54-62. https://doi.org/10.33484/sinopfbd.469669.

JAMA

1.Demirel O. Is There Any Metric Line Which Can Be Represented By A Single Fixed Point? Sinopfbd. 2019;4:54–62.

MLA

Demirel, Oğuzhan. “Is There Any Metric Line Which Can Be Represented By A Single Fixed Point?”. Sinop Üniversitesi Fen Bilimleri Dergisi, c. 4, sy 1, Haziran 2019, ss. 54-62, doi:10.33484/sinopfbd.469669.

Vancouver

1.Oğuzhan Demirel. Is There Any Metric Line Which Can Be Represented By A Single Fixed Point? Sinopfbd. 01 Haziran 2019;4(1):54-62. doi:10.33484/sinopfbd.469669