Zh. Vychisl. Mat. Mat. Fiz., 2020 Volume 60, Number 9, Pages 1462–1471
(Mi zvmmf11126)
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1 paper
A new view of some fundamental results in optimization Yu. G. Evtushenko abc ,
A. A. Tret'yakov ade 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 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.
UDC:
519.855 Received: 18.07.2019
Revised: 31.08.2019
Accepted: 09.04.2020
DOI:
10.31857/S0044466920090082
© , 2025
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