Work

On quasi-metric and metric spaces

Year: 2009

Type: article

Abstract: Given a space X X with a quasi-metric ρ \rho it is known that the so-called p p -chain approach can be used to produce a metric in X X equivalent to ρ p \rho ^p for some 0 > p ≤ 1 0>p\le 1 , hence also a quasi-metric ρ ~ \tilde {\rho } equivalent to ρ \rho with better properties. We refine this result and obtain an exponent p p which is, in general, optimal.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-09-10058-8

Authors: Maciej Paluszyński, Krzysztof Stempak

Institutions: University of Wrocław, Opole University of Technology, Wrocław University of Science and Technology

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Ministerstwo Edukacji i Nauki

OpenAlex ID: W2084139331