12 citations · 28 across the 27 of their papers we have counts for
4 papers · 1 filter
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 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…