E. Petrov

activity

20112026

most citedFixed point theorem for mappings contracting perimeters of triangles

38 citations · 90 across the 18 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.MG2012

On the Gomori-Hu inequality

E. Petrov, O. Dovgoshey

It was proved by Gomori and Hu in 1961 that for every finite nonempty ultrametric space $(X, d)$ the following inequality $|\Sp(X)|\leqslant |X|-1$ holds with $\Sp(X)=\{d(x,y):x,y \…

math.MG2012

Weak similarities of metric and semimetric spaces

Oleksiy Dovgoshey, Evgeniy Petrov

Let (X,dX) and (Y,dY) be semimetric spaces with distance sets D(X) and, respectively, D(Y). A mapping F : X \to Y is a weak similarity if it is surjective and there exists a strict…

math.MG2012

Metric products and continuation of isotone functions

O. Dovgoshey, E. Petrov, G. Kozub

Let $R_{+} = [0, \infty)$ and let $A \subseteq R_{+}^{n}$ . We have found the necessary and sufficient conditions under which a function $Φ : A \to R_{+}$ has an isotone s…