Nonstandard Models and Optimization

Details Nonstandard Models and Optimization Nonstandard Models and Optimization

2008-05-26

arxiv.org/abs/0805.3947v1

Vladikavkaz Math. J., 2008, V.10, No,4, 39-48

Mathematics

Optimization and Control

An extended version of a talk prepared for the International Conference "Methods of Logic in Mathematics V," June 1--6, 2008,

Scientific paper

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.

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