78383

Автор(ы): 

Автор(ов): 

3

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Stability of Minima in Constrained Optimization Problems and Implicit Function Theorem

Электронная публикация: 

Да

ISBN/ISSN: 

1573-2878

DOI: 

10.1007/s10957-024-02459-6

Наименование источника: 

  • Journal of Optimization Theory and Applications

Город: 

  • Luxembourg

Издательство: 

  • Springer

Год издания: 

2024

Страницы: 

https://link.springer.com/article/10.1007/s10957-024-02459-6
Аннотация
In the paper, we consider both finite-dimensional and infinite-dimensional optimization problems with inclusion-type and equality-type constraints. We obtain sufficient conditions for the stability in the weak topology of a solution to this problem with respect to small perturbations of the problem parameters. In the finite-dimensional case, conditions for the stability in the strong topology of the solution are obtained for the problem with equality-type constraints. These conditions are based on a certain implicit function theorem.

Библиографическая ссылка: 

Арутюнов А.В., Жуковский С.Е., Царьков К.А. Stability of Minima in Constrained Optimization Problems and Implicit Function Theorem // Journal of Optimization Theory and Applications. 2024. С. https://link.springer.com/article/10.1007/s10957-024-02459-6.