Email this article 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
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Affiliations:
- Kharkevich Institute for Information Transmission Problems Trapeznikov Institute of Control Sciences
- Trapeznikov Institute of Control Sciences
- Sobolev Institute of Mathematics
- Issue: Vol 60, No 3 (2019)
- Pages: 398-404
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172388
- DOI: https://doi.org/10.1134/S0037446619030042
- ID: 172388
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Abstract
We study the topological properties and cardinalities of the sets of strict local minima of functions on f-quasimetric and topological spaces.
About the authors
A. V. Arutyunov
Kharkevich Institute for Information Transmission Problems Trapeznikov Institute of Control Sciences
Author for correspondence.
Email: arutyunov@cs.msu.ru
Russian Federation, Moscow
S. E. Zhukovskiy
Trapeznikov Institute of Control Sciences
Author for correspondence.
Email: s-e-zhuk@yandex.ru
Russian Federation, Moscow
K. V. Storozhuk
Sobolev Institute of Mathematics
Author for correspondence.
Email: stork@math.nsc.ru
Russian Federation, Novosibirsk
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