B-metric spaces, fixed points and Lipschitz functions
Functional Analysis
2019-03-26 v3
Abstract
The paper is concerned with b-metric and generalized b-metric spaces. One proves the existence of the completion of a generalized b-metric space and some fixed point results. The behavior of Lipschitz functions on b-metric spaces of homogeneous type, as well as of Lipschitz functions defined on, or with values in quasi-Banach spaces, is studied.
Cite
@article{arxiv.1802.02722,
title = {B-metric spaces, fixed points and Lipschitz functions},
author = {S. Cobzaş},
journal= {arXiv preprint arXiv:1802.02722},
year = {2019}
}
Comments
32 pages; added some results of Aimar on balls in b-metric spaces A new proof of Czerwik result is included. The paper is revised