A New Solution to the Rhoades' Open Problem with an Application
Functional Analysis
2019-10-29 v1 Metric Geometry
Abstract
We give a new solution to the Rhoades' open problem on the discontinuity at fixed point via the notion of an -metric. To do this, we inspire with the notion of a Zamfirescu mapping. Also, we consider a recent problem called the "fixed-circle problem" and propose a new solution to this problem as an application of our technique.
Cite
@article{arxiv.1910.12304,
title = {A New Solution to the Rhoades' Open Problem with an Application},
author = {Nihal Özgür and Nihal Taş},
journal= {arXiv preprint arXiv:1910.12304},
year = {2019}
}
Comments
10 pages