English

Some fixed-circle theorems on metric spaces

Metric Geometry 2025-06-03 v2

Abstract

The fixed-point theory and its applications to various areas of science are well known. In this paper we present some existence and uniqueness theorems for fixed circles of self-mappings on metric spaces with geometric interpretation. We verify our results by illustrative examples.

Keywords

Cite

@article{arxiv.1703.00771,
  title  = {Some fixed-circle theorems on metric spaces},
  author = {Nihal Yilmaz Özgür and Nihal Taş},
  journal= {arXiv preprint arXiv:1703.00771},
  year   = {2025}
}

Comments

15 pages, 3 figures

R2 v1 2026-06-22T18:33:36.279Z