11 citations · 29 across the 7 of their papers we have counts for
4 papers · 2 filters
The existence of continuations for different types of metrics
Evgeniy Petrov
The problems of continuation of a partially defined metric and a partially defined ultrametric were considered in (O. Dovgoshey, O. Martio and M. Vuorinen, Metrization of weighted…
Perimetric Contraction on Polygons and Related Fixed Point Theorems
Mi Zhou, Evgeniy Petrov
In the present paper, a new type of mappings called perimetric contractions on -polygons is introduced. These contractions can be viewed as a generalization of mappings that con…
On three-point generalizations of Banach and Edelstein fixed point theorems
Christian Bey, Evgeniy Petrov, Ruslan Salimov
Let be a metric space. Recently in~[1] it was considered a new type of mappings which can be characterized as mappings contracting perimeters of triangles. The…
Periodic points of mappings contracting total pairwise distance
Evgeniy Petrov
We consider a new type of mappings in metric spaces so-called mappings contracting total pairwise distance on points. It is shown that such mappings are continuous. A theorem o…