dc.contributor.advisor | Olela Otafudu, O. | |
dc.contributor.advisor | Mushaandja, Z. | |
dc.contributor.author | Sebogodi, K. | |
dc.date.accessioned | 2020-07-20T14:52:26Z | |
dc.date.available | 2020-07-20T14:52:26Z | |
dc.date.issued | 2016 | |
dc.identifier.uri | http://hdl.handle.net/10394/35218 | |
dc.description | MSc (Mathematics), North-West University, Mafikeng Campus | en_US |
dc.description.abstract | In this MSc dissertation, we present modular metric spaces in asymmetric settings (called modular
quasi-pseudometric spaces). Our results generalise and extend the concept of a modular metric
on an arbitrary set, as presented in the work of Chistyakov. We show that Chistyakov's results
also hold in an asymmetric framework. Furthermore, we show that most of Chistyakov's results
do not need the symmetry property of a modular metric and prove that the results even hold
when the symmetric property is not assumed. Finally, we observe that for any modular quasipseudometric
which is convex on a set, its conjugate modular quasi-pseudometric is also convex
and its symmetrized modular pseudometric preserves convexity. | en_US |
dc.language.iso | en | en_US |
dc.publisher | North-West University (South Africa) | en_US |
dc.title | On Modular Quasi-Pseudometric Spaces | en_US |
dc.type | Thesis | en_US |
dc.description.thesistype | Masters | en_US |
dc.contributor.researchID | 24803812 - Olela Otafudu, Olivier (Supervisor) | |