Journals / Sinop Üniversitesi Fen Bilimleri Dergisi / 2019 / Cilt: 4 - Sayı: 1

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

Pages
54–62
DOI
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Özet

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?

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