Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Petrov, Evgeniy A."'
Autor:
Piek, Albert Bruno, Petrov, Evgeniy
Publikováno v:
Ann. Comb. 25, 33-50 (2021)
We introduce a metric on the set of permutations of given order, which is a weighted generalization of Kendall's $\tau$ rank distance and study its properties. Using the edge graph of a permutohedron, we give a criterion which guarantees that a permu
Externí odkaz:
http://arxiv.org/abs/2412.18400
Autor:
Petrov, Evgeniy A.
Publikováno v:
J. Math. Sci. 264, 423-440 (2022)
A characterization of finite homogeneous ultrametric spaces and finite ultrametric spaces generated by unrooted labeled trees is found in terms of representing trees. A characterization of finite ultrametric spaces having perfect strictly $n$-ary tre
Externí odkaz:
http://arxiv.org/abs/2412.17421
Autor:
Petrov, Evgeniy
Publikováno v:
P-Adic Num. Ultrametr. Anal. Appl. 14, 145-156 (2022)
It is shown that a minimum weight spanning tree of a finite ultrametric space can be always found in the form of path. As a canonical representing tree such path uniquely defines the whole space and, moreover, it has much more simple structure. Thus,
Externí odkaz:
http://arxiv.org/abs/2412.17416
Autor:
Keller, Karsten, Petrov, Evgeniy
Publikováno v:
Acta Math. Hungar. 160, 119-152 (2020)
Ordinal data analysis is an interesting direction in machine learning. It mainly deals with data for which only the relationships `$<$', `$=$', `$>$' between pairs of points are known. We do an attempt of formalizing structures behind ordinal data an
Externí odkaz:
http://arxiv.org/abs/2412.17391
Autor:
Zhou, Mi, Petrov, Evgeniy
In the present paper, a new type of mappings called perimetric contractions on $k$-polygons is introduced. These contractions can be viewed as a generalization of mappings that contracts perimeters of triangles. A fixed point theorem for this type of
Externí odkaz:
http://arxiv.org/abs/2410.20449
Let $X$ be a metric space. Recently in~[1] it was considered a new type of mappings $T\colon X\to X$ which can be characterized as mappings contracting perimeters of triangles. These mappings are defined by the condition based on the mapping of three
Externí odkaz:
http://arxiv.org/abs/2404.05740
Autor:
Bisht, Ravindra K., Petrov, Evgeniy
In this paper, we introduce a new category of mappings within metric spaces, specifically focusing on three-point analogs of the well-established Chatterjea type mappings. We demonstrate that Chatterjea type mappings and their three-point analogs are
Externí odkaz:
http://arxiv.org/abs/2403.07906
Autor:
Petrov, Evgeniy
We consider a new type of mappings in metric spaces so-called mappings contracting total pairwise distance on $n$ points. It is shown that such mappings are continuous. A theorem on the existence of periodic points for such mappings is proved and the
Externí odkaz:
http://arxiv.org/abs/2402.02536
Autor:
Petrov, Evgeniy, Bisht, Ravindra K.
We introduce a new type of mappings in metric spaces which are three-point analogue of the well-known Kannan type mappings and call them generalized Kannan type mappings. It is shown that in general case such mappings are discontinuous but continuous
Externí odkaz:
http://arxiv.org/abs/2308.05419
Autor:
Petrov, Evgeniy
Publikováno v:
J. Fixed Point Theory Appl. 25, 74 (2023)
We consider a new type of mappings in metric spaces which can be characterized as mappings contracting perimeters of triangles. It is shown that such mappings are continuous. The fixed-point theorem for such mappings is proved and the classical Banac
Externí odkaz:
http://arxiv.org/abs/2308.01003