Fixed-disc results via simulation functions
Metric Geometry
2025-06-03 v1
Abstract
In this paper, our aim is to obtain new fixed-disc results on metric spaces. To do this, we present a new approach using the set of simulation functions and some known fixed-point techniques. We do not need to have some strong conditions such as completeness or compactness of the metric space or continuity of the self-mapping in our results. Taking only one geometric condition, we ensure the existence of a fixed disc of a new type contractive mapping.
Cite
@article{arxiv.1901.02623,
title = {Fixed-disc results via simulation functions},
author = {Nihal Yilmaz Özgür},
journal= {arXiv preprint arXiv:1901.02623},
year = {2025}
}
Comments
11 pages