12 citations · 28 across the 27 of their papers we have counts for
28 papers
Quasisymmetric mappings in b-metric spaces
Evgeniy A. Petrov, Ruslan R. Salimov
Considering quasisymmetric mappings between b-metric spaces we have found a new estimation for the ratio of diameters of two subsets which are images of two bounded subsets. This r…
On quasisymmetric mappings between ultrametric spaces
Evgeniy Petrov, Ruslan Salimov
In 1980 P. Tukia and J. Väisälä in seminal paper [P. Tukia and J. Väisälä, Quasisymmetric embeddings of metric spaces, Ann. Acad. Sci. Fenn., Ser. A I, Math. 5, 97--114 (1980)] ext…
On asymptotics of ring -homeomorphisms with respect to -modulus near the origin
Ruslan Salimov, Bogdan Klishchuk
We consider the class of ring -homeomorphisms with respect to -modulus in with , and obtain lower bounds for limsups of the distance distortions under…
On quasisymmetric mappings in semimetric spaces
Evgeniy Petrov, Ruslan Salimov
The class of quasisymmetric mappings on the real axis was first introduced by A. Beurling and L. V. Ahlfors in 1956. In 1980 P. Tukia and J. Väisälä considered these mappings betwe…
A note on generalized four-point inequality
Evgeniy A. Petrov, Ruslan R. Salimov
In 2017 M. Bessenyei and Z. Páles introduced a definition of a triangle function which generates a concept of a generalized triangle inequality in semimetric spaces. Inspired by th…
Capacity inequalities and Lipschitz continuity of mappings
Ruslan Salimov, Evgeny Sevost'yanov, Alexander Ukhlov
In this paper we consider topological mappings defined by -capacity inequalities in domains of . In the case we prove the Lipschitz continuity of such mappi…