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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 3, Pages 518–526
DOI: https://doi.org/10.33048/smzh.2019.60.304 (Mi smj3092) 		 
The structure of the set of local minima of functions in various spaces

A. V. Arutyunovabc, S. E. Zhukovskiybcd, K. V. Storozhukef

a Kharkevich Institute for Information Transmission Problems, Moscow, Russia
b Trapeznikov Institute of Control Sciences, Moscow, Russia
c Peoples' Friendship University of Russia, Moscow, Russia
d Moscow Institute of Physics and Technology, Moscow, Russia
e Sobolev Institute of Mathematics, Novosibirsk, Russia
f Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/smzh.2019.60.304
Abstract: We study the topological properties and cardinalities of the sets of strict local minima of functions on $f$-quasimetric and topological spaces.
Keywords: $f$-quasimetric space, local minimum of a function.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 17-51-12064_ННИО_а
17-51-52022_МНТ_а
18-01-00590_а
18-01-00106_а
19-01-00080_а
The authors were supported by the Peoples' Friendship University of Russia (Program 5-100) and the Russian Foundation for Basic Research (Grants 17-51-12064, 17-51-52022, 18-01-00590, 18-01-00106, and 19-01-00080).
Received: 15.07.2018
Revised: 09.01.2019
Accepted: 12.03.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 3, Pages 398–404
DOI: https://doi.org/10.1134/S0037446619030042
Bibliographic databases:
Document Type: Article
UDC: 517.988.38
Language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskiy, K. V. Storozhuk, “The structure of the set of local minima of functions in various spaces”, Sibirsk. Mat. Zh., 60:3 (2019), 518–526; Siberian Math. J., 60:3 (2019), 398–404
Citation in format AMSBIB
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\pages 518--526
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