Pata Zamfirescu Type Fixed-Disc Results with a Proximal Application
Metric Geometry
2025-06-09 v1
Abstract
This paper is concerning to the geometric study of fixed points of a self-mapping on a metric space. We establish new generalized contractive conditions which ensure that a self-mapping has a fixed disc or a fixed circle. We introduce the notion of a best proximity circle and explore some proximal contractions for a non-self-mapping as an application. Necessary illustrative examples are presented to highlight the importance of the obtained results.
Cite
@article{arxiv.1910.12302,
title = {Pata Zamfirescu Type Fixed-Disc Results with a Proximal Application},
author = {Nihal Özgür and Nihal Taş},
journal= {arXiv preprint arXiv:1910.12302},
year = {2025}
}
Comments
11 pages