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

Year 2019, Volume: 4 Issue: 1, 54 - 62, 27.06.2019

Oğuzhan Demirel

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

https://izlik.org/JA49KN33PX

Abstract

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

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