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

Authors: Arutyunov A.V.¹, Zhukovskiy S.E.², Storozhuk K.V.³
Affiliations:
1. Kharkevich Institute for Information Transmission Problems Trapeznikov Institute of Control Sciences
2. Trapeznikov Institute of Control Sciences
3. Sobolev Institute of Mathematics
Issue: Vol 60, No 3 (2019)
Pages: 398-404
Section: Article
URL: https://journals.rcsi.science/0037-4466/article/view/172388
DOI: https://doi.org/10.1134/S0037446619030042
ID: 172388

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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

Kharkevich Institute for Information Transmission Problems Trapeznikov Institute of Control Sciences

Author for correspondence.
Email: arutyunov@cs.msu.ru
Russian Federation, Moscow

Trapeznikov Institute of Control Sciences

Author for correspondence.
Email: s-e-zhuk@yandex.ru
Russian Federation, Moscow

Sobolev Institute of Mathematics

Author for correspondence.
Email: stork@math.nsc.ru
Russian Federation, Novosibirsk