@article{Greshnov2023, 
author = {Alexander Greshnov and Vladimir Potapov},
title = {About coincidence points theorems on 2-step Carnot groups with 1-dimensional centre equipped with Box-quasimetrics},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {6191-6205},
keywords = {Carnot group, coincidence points, (q1, q2)-quasimetric spase, exact value, Box-quasimetric, estimates of divergence},
url = {https://www.sciopen.com/article/10.3934/math.2023313},
doi = {10.3934/math.2023313},
abstract = {For some class of 2-step Carnot groups        D    n   with 1-dimensional centre we find the exact values of the constants in    (  1  ,      q    2    )-generalized triangle inequality for their    Box-quasimetrics        ρ                  Box                              D            n                              . Using this result we get the best version of the Coincidence Points Theorem of    α-covering and    β-Lipschitz mappings defined on    (      D    n    ,      ρ                  Box                              D            n                                ).}
}