Abstract
This is an overview of a few possibilities that are open by model theory in applied mathematics. The most attention is paid to the present state and frontiers of the Cauchy method of majorants, approximation of operator equations with finite-dimensional analogs, and the Lagrange multiplier principle in multiobjective decision making.
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Original Russian Text © S.S Kutateladze, 2008, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2008, Vol. XI, No. 4, pp. 66–77.
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Kutateladze, S.S. Domination, discretization, and scalarization. J. Appl. Ind. Math. 3, 96–106 (2009). https://doi.org/10.1134/S1990478909010116
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DOI: https://doi.org/10.1134/S1990478909010116