Nonstandard Models and Optimization

zbMATH Open1324.46075arXiv0805.3947MaRDI QIDQ5263199

S. S. Kutateladze

Publication date: 10 July 2015

Abstract: This is an overview of a few possibilities that are open by model theory in applied mathematics. 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.

Full work available at URL: https://arxiv.org/abs/0805.3947

zbMATH Keywords

nonstandard analysisBoolean-valued analysisapproximate efficiencylattice normed spacehyperapproximation

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) Nonstandard functional analysis (46S20)

Related Items (3)

Models and methods for standardization problems ⋮ Title not available (Why is that?) ⋮ Nonsubmodular Optimization

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