Nonstandard models and optimization

Kutateladze, S. S.
Владикавказский математический журнал. . Том 10. 2008 г.. Выпуск 4.

Аннотация:
This is an overview of a few possibilities that are open by model theory in optimization. Most attention is paid to the impact of infinitesimal analysis and Boolean valued models to convexity, Pareto optimality, and hyperapproximation.

Ключевые слова: Boolean valued analysis, nonstandard analysis, approximate efficiency, hyperapproximation, lattice normed space.

Язык статьи: Английский Загрузить полный текст