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pro vyhledávání: '"Petrov, Evgeniy A."'
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
Autor:
Bosnar, Mihovil, Vyazovskaya, Alexandra Yu., Petrov, Evgeniy K., Chulkov, Evgueni V., Otrokov, Mikhail M.
Chern insulators are two-dimensional magnetic topological materials that conduct electricity along their edges via the one-dimensional chiral modes. The number of these modes is a topological invariant called the first Chern number $C$, that defines
Externí odkaz:
http://arxiv.org/abs/2212.13457
Autor:
Petrov, Evgeniy K., Men'shov, Vladimir N., Rusinov, Igor P., Hoffmann, Martin, Ernst, Arthur, Otrokov, Mikhail M., Dugaev, Vitalii K., Menshchikova, Tatiana V., Chulkov, Evgueni V.
Publikováno v:
Phys. Rev. B 103, 235142 (2021)
A flat band in fermionic system is a dispersionless single-particle state with a diverging effective mass and nearly zero group velocity. These flat bands are expected to support exotic properties in the ground state, which might be important for a w
Externí odkaz:
http://arxiv.org/abs/2001.06433
The article is devoted to the study of mappings with finite distortion in metric spaces. Analogues of results relating to equicontinuity and normality of families of quasiregular mappings are obtained. It is proved that the indicated families are equ
Externí odkaz:
http://arxiv.org/abs/1707.05886
Autor:
Petrov, Evgeniy A.1 (AUTHOR) eugeniy.petrov@gmail.com, Salimov, Ruslan R.2 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. Jun2023, Vol. 273 Issue 3, p414-426. 13p.
Autor:
Sergienko, Alexey V., Solovieva, Kristina N., Balakhnina, Anastasia V., Petrov, Evgeniy A., Ozherelkov, Dmitriy Yu., Nalivaiko, Anton Yu., Gromov, Alexander A. *
Publikováno v:
In Materials Today Communications June 2021 27