Controlled rectangular metric type spaces and some applications to polynomial equations
General Topology
2019-10-31 v1
Abstract
In this paper, we introduce a generalization of rectangular metric spaces, by changing the rectangular inequality as follows \begin{equation*} \rho(x,y)\le \theta(x,y,u,v)[\rho(x,u)+\rho(u,v)+\rho(v,y)], \end{equation*}% for all distinct We prove some fixed-point theorems and we use our results to present a nice application in last section of this paper. Moreover, in the conclusion we present some new open questions.
Cite
@article{arxiv.1910.13704,
title = {Controlled rectangular metric type spaces and some applications to polynomial equations},
author = {Nabil Mlaiki},
journal= {arXiv preprint arXiv:1910.13704},
year = {2019}
}