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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 9, Pages 1462–1471
DOI: https://doi.org/10.31857/S0044466920090082 (Mi zvmmf11126) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A new view of some fundamental results in optimization

Yu. G. Evtushenkoabc, A. A. Tret'yakovade

a Dorodnitsyn Computing Centre, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, 119333 Russia
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow oblast, 141700 Russia
c Moscow Aviation Institute (National Research University), Moscow, 125080 Russia
d Siedlce University of Natural Sciences and Humanities
e System Research Institute, Polish Academy of Sciences, Warsaw, 01-447 Poland
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DOI: https://doi.org/10.31857/S0044466920090082
Abstract: Some fundamental optimization results are proved in new ways, which are not traditional and provide a new view of well-known results. Constructions of $p$-regularity theory are used to justify the facts under consideration, and the 2-factor method is applied to solve singular problems.
Key words: optimization, singularity, Kuhn–Tucker theorem, Farkas' lemma, cone closedness, 2-factor method, 2-regularity.
Received: 18.07.2019
Revised: 31.08.2019
Accepted: 09.04.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 9, Pages 1412–1421
DOI: https://doi.org/10.1134/S0965542520090080
Bibliographic databases:
Document Type: Article
UDC: 519.855
Language: Russian
Citation: Yu. G. Evtushenko, A. A. Tret'yakov, “A new view of some fundamental results in optimization”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020), 1462–1471; Comput. Math. Math. Phys., 60:9 (2020), 1412–1421
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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