Unique fixed point theorems for contractive maps type in T0-quasi-metric spaces
Abstract
In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T0-ultra-quasi-metric space has a unique fixed point. In this article, we give and prove a fixed point theorem for C-contractive and S-contractive mappings in a bicomplete di-metric space. The connection between q-spherically complete T0-ultra-quasi-metric spaces and bicomplete di-metric spaces is pointed out in Proposition 3.1.
Copyright © 2013 Yae Ulrich Gaba. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
Y. U. Gaba, Unique fixed point theorems for contractive maps type in T0-quasi-metric spaces, Adv. Fixed Point Theory 4 (2014), 117–124.
BibTeX
@article{Gaba2014,
author = {Gaba, Yae Ulrich},
title = {Unique fixed point theorems for contractive maps type in T0-quasi-metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {4},
year = {2014},
pages = {117--124},
doi = {}
}