English

A fixed point theorem for mappings in partial metric spaces

General Topology 2023-12-27 v1

Abstract

In this paper we are going to prove a very general fixed point theorem for mappings acting in partial metric spaces. In that theorem we impose some conditions on behavior of considered mappings on orbits and a condition relating orbits of points of small size.

Keywords

Cite

@article{arxiv.2312.15255,
  title  = {A fixed point theorem for mappings in partial metric spaces},
  author = {Dariusz Bugajewski and Piotr Maćkowiak},
  journal= {arXiv preprint arXiv:2312.15255},
  year   = {2023}
}
R2 v1 2026-06-28T14:00:43.041Z