The Structure of the Set of Local Minima of Functions in Various Spaces

We study the topological properties and cardinalities of the sets of strict local minima of functions on f-quasimetric and topological spaces. © 2019, Pleiades Publishing, Inc.

Authors
Arutyunov A.V. 1 , Zhukovskiy S.E. 2 , Storozhuk K.V. 3
Journal
Siberian Mathematical Journal
Number of issue
3
Language
English
Pages
398-404
Status
Published
Link
External link
DOI
10.1134/S0037446619030042
Volume
60
Year
2019
Organizations
  • 1 Kharkevich Institute for Information Transmission Problems Trapeznikov Institute of Control Sciences, Peoples’ Friendship University of Russia, Moscow, Russian Federation
  • 2 Trapeznikov Institute of Control Sciences, Peoples’ Friendship University of Russia, Moscow Institute of Physics and Technology, Moscow, Russian Federation
  • 3 Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russian Federation
Keywords
f-quasimetric space; local minimum of a function
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