Siberian Mathematical Journal

, Volume 60, Issue 3, pp 398–404 | Cite as

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

  • A. V. ArutyunovEmail author
  • S. E. ZhukovskiyEmail author
  • K. V. StorozhukEmail author


We study the topological properties and cardinalities of the sets of strict local minima of functions on f-quasimetric and topological spaces.


f-quasimetric space local minimum of a function 


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Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.Kharkevich Institute for Information Transmission Problems Trapeznikov Institute of Control SciencesPeoples’ Friendship University of RussiaMoscowRussia
  2. 2.Trapeznikov Institute of Control SciencesPeoples’ Friendship University of Russia, Moscow Institute of Physics and TechnologyMoscowRussia
  3. 3.Sobolev Institute of MathematicsNovosibirsk State UniversityNovosibirskRussia

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