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

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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.

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Correspondence to A. V. Arutyunov, S. E. Zhukovskiy or K. V. Storozhuk.

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Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 3, pp. 518–526.

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).

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Arutyunov, A.V., Zhukovskiy, S.E. & Storozhuk, K.V. The Structure of the Set of Local Minima of Functions in Various Spaces. Sib Math J 60, 398–404 (2019). https://doi.org/10.1134/S0037446619030042

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  • DOI: https://doi.org/10.1134/S0037446619030042

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